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Simplifying x + -3(2x + -1(x + 1) + 5(1 + -1x)) = x + (3x + -7) + -1(x + 3) Reorder the terms: x + -3(2x + -1(1 + x) + 5(1 + -1x)) = x + (3x + -7) + -1(x + 3) x + -3(2x + (1 * -1 + x * -1) + 5(1 + -1x)) = x + (3x + -7) + -1(x + 3) x + -3(2x + (-1 + -1x) + 5(1 + -1x)) = x + (3x + -7) + -1(x + 3) x + -3(2x + -1 + -1x + (1 * 5 + -1x * 5)) = x + (3x + -7) + -1(x + 3) x + -3(2x + -1 + -1x + (5 + -5x)) = x + (3x + -7) + -1(x + 3) Reorder the terms: x + -3(-1 + 5 + 2x + -1x + -5x) = x + (3x + -7) + -1(x + 3) Combine like terms: -1 + 5 = 4 x + -3(4 + 2x + -1x + -5x) = x + (3x + -7) + -1(x + 3) Combine like terms: 2x + -1x = 1x x + -3(4 + 1x + -5x) = x + (3x + -7) + -1(x + 3) Combine like terms: 1x + -5x = -4x x + -3(4 + -4x) = x + (3x + -7) + -1(x + 3) x + (4 * -3 + -4x * -3) = x + (3x + -7) + -1(x + 3) x + (-12 + 12x) = x + (3x + -7) + -1(x + 3) Reorder the terms: -12 + x + 12x = x + (3x + -7) + -1(x + 3) Combine like terms: x + 12x = 13x -12 + 13x = x + (3x + -7) + -1(x + 3) Reorder the terms: -12 + 13x = x + (-7 + 3x) + -1(x + 3) Remove parenthesis around (-7 + 3x) -12 + 13x = x + -7 + 3x + -1(x + 3) Reorder the terms: -12 + 13x = x + -7 + 3x + -1(3 + x) -12 + 13x = x + -7 + 3x + (3 * -1 + x * -1) -12 + 13x = x + -7 + 3x + (-3 + -1x) Reorder the terms: -12 + 13x = -7 + -3 + x + 3x + -1x Combine like terms: -7 + -3 = -10 -12 + 13x = -10 + x + 3x + -1x Combine like terms: x + 3x = 4x -12 + 13x = -10 + 4x + -1x Combine like terms: 4x + -1x = 3x -12 + 13x = -10 + 3x Solving -12 + 13x = -10 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -12 + 13x + -3x = -10 + 3x + -3x Combine like terms: 13x + -3x = 10x -12 + 10x = -10 + 3x + -3x Combine like terms: 3x + -3x = 0 -12 + 10x = -10 + 0 -12 + 10x = -10 Add '12' to each side of the equation. -12 + 12 + 10x = -10 + 12 Combine like terms: -12 + 12 = 0 0 + 10x = -10 + 12 10x = -10 + 12 Combine like terms: -10 + 12 = 2 10x = 2 Divide each side by '10'. x = 0.2 Simplifying x = 0.2
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