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Simplifying -1(6x + -8) + -1(4x + -7) + 6 = -8(x + -5) + -1(5x + -6) + 8 Reorder the terms: -1(-8 + 6x) + -1(4x + -7) + 6 = -8(x + -5) + -1(5x + -6) + 8 (-8 * -1 + 6x * -1) + -1(4x + -7) + 6 = -8(x + -5) + -1(5x + -6) + 8 (8 + -6x) + -1(4x + -7) + 6 = -8(x + -5) + -1(5x + -6) + 8 Reorder the terms: 8 + -6x + -1(-7 + 4x) + 6 = -8(x + -5) + -1(5x + -6) + 8 8 + -6x + (-7 * -1 + 4x * -1) + 6 = -8(x + -5) + -1(5x + -6) + 8 8 + -6x + (7 + -4x) + 6 = -8(x + -5) + -1(5x + -6) + 8 Reorder the terms: 8 + 7 + 6 + -6x + -4x = -8(x + -5) + -1(5x + -6) + 8 Combine like terms: 8 + 7 = 15 15 + 6 + -6x + -4x = -8(x + -5) + -1(5x + -6) + 8 Combine like terms: 15 + 6 = 21 21 + -6x + -4x = -8(x + -5) + -1(5x + -6) + 8 Combine like terms: -6x + -4x = -10x 21 + -10x = -8(x + -5) + -1(5x + -6) + 8 Reorder the terms: 21 + -10x = -8(-5 + x) + -1(5x + -6) + 8 21 + -10x = (-5 * -8 + x * -8) + -1(5x + -6) + 8 21 + -10x = (40 + -8x) + -1(5x + -6) + 8 Reorder the terms: 21 + -10x = 40 + -8x + -1(-6 + 5x) + 8 21 + -10x = 40 + -8x + (-6 * -1 + 5x * -1) + 8 21 + -10x = 40 + -8x + (6 + -5x) + 8 Reorder the terms: 21 + -10x = 40 + 6 + 8 + -8x + -5x Combine like terms: 40 + 6 = 46 21 + -10x = 46 + 8 + -8x + -5x Combine like terms: 46 + 8 = 54 21 + -10x = 54 + -8x + -5x Combine like terms: -8x + -5x = -13x 21 + -10x = 54 + -13x Solving 21 + -10x = 54 + -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. 21 + -10x + 13x = 54 + -13x + 13x Combine like terms: -10x + 13x = 3x 21 + 3x = 54 + -13x + 13x Combine like terms: -13x + 13x = 0 21 + 3x = 54 + 0 21 + 3x = 54 Add '-21' to each side of the equation. 21 + -21 + 3x = 54 + -21 Combine like terms: 21 + -21 = 0 0 + 3x = 54 + -21 3x = 54 + -21 Combine like terms: 54 + -21 = 33 3x = 33 Divide each side by '3'. x = 11 Simplifying x = 11
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