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Simplifying 5 + -3(2x + -1(x + 1) + 5(1 + -1x)) = (3x + -7) + -1(x + 8) Reorder the terms: 5 + -3(2x + -1(1 + x) + 5(1 + -1x)) = (3x + -7) + -1(x + 8) 5 + -3(2x + (1 * -1 + x * -1) + 5(1 + -1x)) = (3x + -7) + -1(x + 8) 5 + -3(2x + (-1 + -1x) + 5(1 + -1x)) = (3x + -7) + -1(x + 8) 5 + -3(2x + -1 + -1x + (1 * 5 + -1x * 5)) = (3x + -7) + -1(x + 8) 5 + -3(2x + -1 + -1x + (5 + -5x)) = (3x + -7) + -1(x + 8) Reorder the terms: 5 + -3(-1 + 5 + 2x + -1x + -5x) = (3x + -7) + -1(x + 8) Combine like terms: -1 + 5 = 4 5 + -3(4 + 2x + -1x + -5x) = (3x + -7) + -1(x + 8) Combine like terms: 2x + -1x = 1x 5 + -3(4 + 1x + -5x) = (3x + -7) + -1(x + 8) Combine like terms: 1x + -5x = -4x 5 + -3(4 + -4x) = (3x + -7) + -1(x + 8) 5 + (4 * -3 + -4x * -3) = (3x + -7) + -1(x + 8) 5 + (-12 + 12x) = (3x + -7) + -1(x + 8) Combine like terms: 5 + -12 = -7 -7 + 12x = (3x + -7) + -1(x + 8) Reorder the terms: -7 + 12x = (-7 + 3x) + -1(x + 8) Remove parenthesis around (-7 + 3x) -7 + 12x = -7 + 3x + -1(x + 8) Reorder the terms: -7 + 12x = -7 + 3x + -1(8 + x) -7 + 12x = -7 + 3x + (8 * -1 + x * -1) -7 + 12x = -7 + 3x + (-8 + -1x) Reorder the terms: -7 + 12x = -7 + -8 + 3x + -1x Combine like terms: -7 + -8 = -15 -7 + 12x = -15 + 3x + -1x Combine like terms: 3x + -1x = 2x -7 + 12x = -15 + 2x Solving -7 + 12x = -15 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -7 + 12x + -2x = -15 + 2x + -2x Combine like terms: 12x + -2x = 10x -7 + 10x = -15 + 2x + -2x Combine like terms: 2x + -2x = 0 -7 + 10x = -15 + 0 -7 + 10x = -15 Add '7' to each side of the equation. -7 + 7 + 10x = -15 + 7 Combine like terms: -7 + 7 = 0 0 + 10x = -15 + 7 10x = -15 + 7 Combine like terms: -15 + 7 = -8 10x = -8 Divide each side by '10'. x = -0.8 Simplifying x = -0.8
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