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Simplifying -1(6x + -8y) + -1(4x + -7) + 6 = -8(x + -5) + -1(5x + -6) + 8y (6x * -1 + -8y * -1) + -1(4x + -7) + 6 = -8(x + -5) + -1(5x + -6) + 8y (-6x + 8y) + -1(4x + -7) + 6 = -8(x + -5) + -1(5x + -6) + 8y Reorder the terms: -6x + 8y + -1(-7 + 4x) + 6 = -8(x + -5) + -1(5x + -6) + 8y -6x + 8y + (-7 * -1 + 4x * -1) + 6 = -8(x + -5) + -1(5x + -6) + 8y -6x + 8y + (7 + -4x) + 6 = -8(x + -5) + -1(5x + -6) + 8y Reorder the terms: 7 + 6 + -6x + -4x + 8y = -8(x + -5) + -1(5x + -6) + 8y Combine like terms: 7 + 6 = 13 13 + -6x + -4x + 8y = -8(x + -5) + -1(5x + -6) + 8y Combine like terms: -6x + -4x = -10x 13 + -10x + 8y = -8(x + -5) + -1(5x + -6) + 8y Reorder the terms: 13 + -10x + 8y = -8(-5 + x) + -1(5x + -6) + 8y 13 + -10x + 8y = (-5 * -8 + x * -8) + -1(5x + -6) + 8y 13 + -10x + 8y = (40 + -8x) + -1(5x + -6) + 8y Reorder the terms: 13 + -10x + 8y = 40 + -8x + -1(-6 + 5x) + 8y 13 + -10x + 8y = 40 + -8x + (-6 * -1 + 5x * -1) + 8y 13 + -10x + 8y = 40 + -8x + (6 + -5x) + 8y Reorder the terms: 13 + -10x + 8y = 40 + 6 + -8x + -5x + 8y Combine like terms: 40 + 6 = 46 13 + -10x + 8y = 46 + -8x + -5x + 8y Combine like terms: -8x + -5x = -13x 13 + -10x + 8y = 46 + -13x + 8y Add '-8y' to each side of the equation. 13 + -10x + 8y + -8y = 46 + -13x + 8y + -8y Combine like terms: 8y + -8y = 0 13 + -10x + 0 = 46 + -13x + 8y + -8y 13 + -10x = 46 + -13x + 8y + -8y Combine like terms: 8y + -8y = 0 13 + -10x = 46 + -13x + 0 13 + -10x = 46 + -13x Solving 13 + -10x = 46 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. 13 + -10x + 13x = 46 + -13x + 13x Combine like terms: -10x + 13x = 3x 13 + 3x = 46 + -13x + 13x Combine like terms: -13x + 13x = 0 13 + 3x = 46 + 0 13 + 3x = 46 Add '-13' to each side of the equation. 13 + -13 + 3x = 46 + -13 Combine like terms: 13 + -13 = 0 0 + 3x = 46 + -13 3x = 46 + -13 Combine like terms: 46 + -13 = 33 3x = 33 Divide each side by '3'. x = 11 Simplifying x = 11
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