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Simplifying 2(4x + -7) + 5(3x + -9) + 11x + 123 = 3(4x + -7) + 8(9x + -5) + 13x + -95 Reorder the terms: 2(-7 + 4x) + 5(3x + -9) + 11x + 123 = 3(4x + -7) + 8(9x + -5) + 13x + -95 (-7 * 2 + 4x * 2) + 5(3x + -9) + 11x + 123 = 3(4x + -7) + 8(9x + -5) + 13x + -95 (-14 + 8x) + 5(3x + -9) + 11x + 123 = 3(4x + -7) + 8(9x + -5) + 13x + -95 Reorder the terms: -14 + 8x + 5(-9 + 3x) + 11x + 123 = 3(4x + -7) + 8(9x + -5) + 13x + -95 -14 + 8x + (-9 * 5 + 3x * 5) + 11x + 123 = 3(4x + -7) + 8(9x + -5) + 13x + -95 -14 + 8x + (-45 + 15x) + 11x + 123 = 3(4x + -7) + 8(9x + -5) + 13x + -95 Reorder the terms: -14 + -45 + 123 + 8x + 15x + 11x = 3(4x + -7) + 8(9x + -5) + 13x + -95 Combine like terms: -14 + -45 = -59 -59 + 123 + 8x + 15x + 11x = 3(4x + -7) + 8(9x + -5) + 13x + -95 Combine like terms: -59 + 123 = 64 64 + 8x + 15x + 11x = 3(4x + -7) + 8(9x + -5) + 13x + -95 Combine like terms: 8x + 15x = 23x 64 + 23x + 11x = 3(4x + -7) + 8(9x + -5) + 13x + -95 Combine like terms: 23x + 11x = 34x 64 + 34x = 3(4x + -7) + 8(9x + -5) + 13x + -95 Reorder the terms: 64 + 34x = 3(-7 + 4x) + 8(9x + -5) + 13x + -95 64 + 34x = (-7 * 3 + 4x * 3) + 8(9x + -5) + 13x + -95 64 + 34x = (-21 + 12x) + 8(9x + -5) + 13x + -95 Reorder the terms: 64 + 34x = -21 + 12x + 8(-5 + 9x) + 13x + -95 64 + 34x = -21 + 12x + (-5 * 8 + 9x * 8) + 13x + -95 64 + 34x = -21 + 12x + (-40 + 72x) + 13x + -95 Reorder the terms: 64 + 34x = -21 + -40 + -95 + 12x + 72x + 13x Combine like terms: -21 + -40 = -61 64 + 34x = -61 + -95 + 12x + 72x + 13x Combine like terms: -61 + -95 = -156 64 + 34x = -156 + 12x + 72x + 13x Combine like terms: 12x + 72x = 84x 64 + 34x = -156 + 84x + 13x Combine like terms: 84x + 13x = 97x 64 + 34x = -156 + 97x Solving 64 + 34x = -156 + 97x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-97x' to each side of the equation. 64 + 34x + -97x = -156 + 97x + -97x Combine like terms: 34x + -97x = -63x 64 + -63x = -156 + 97x + -97x Combine like terms: 97x + -97x = 0 64 + -63x = -156 + 0 64 + -63x = -156 Add '-64' to each side of the equation. 64 + -64 + -63x = -156 + -64 Combine like terms: 64 + -64 = 0 0 + -63x = -156 + -64 -63x = -156 + -64 Combine like terms: -156 + -64 = -220 -63x = -220 Divide each side by '-63'. x = 3.492063492 Simplifying x = 3.492063492
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