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Simplifying 3(x + -1) + -2(3x + 2) = 5(1 + -1x) Reorder the terms: 3(-1 + x) + -2(3x + 2) = 5(1 + -1x) (-1 * 3 + x * 3) + -2(3x + 2) = 5(1 + -1x) (-3 + 3x) + -2(3x + 2) = 5(1 + -1x) Reorder the terms: -3 + 3x + -2(2 + 3x) = 5(1 + -1x) -3 + 3x + (2 * -2 + 3x * -2) = 5(1 + -1x) -3 + 3x + (-4 + -6x) = 5(1 + -1x) Reorder the terms: -3 + -4 + 3x + -6x = 5(1 + -1x) Combine like terms: -3 + -4 = -7 -7 + 3x + -6x = 5(1 + -1x) Combine like terms: 3x + -6x = -3x -7 + -3x = 5(1 + -1x) -7 + -3x = (1 * 5 + -1x * 5) -7 + -3x = (5 + -5x) Solving -7 + -3x = 5 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -7 + -3x + 5x = 5 + -5x + 5x Combine like terms: -3x + 5x = 2x -7 + 2x = 5 + -5x + 5x Combine like terms: -5x + 5x = 0 -7 + 2x = 5 + 0 -7 + 2x = 5 Add '7' to each side of the equation. -7 + 7 + 2x = 5 + 7 Combine like terms: -7 + 7 = 0 0 + 2x = 5 + 7 2x = 5 + 7 Combine like terms: 5 + 7 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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