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Simplifying 3(x + -1) + -2x = 5(2 + -1x) + -12 Reorder the terms: 3(-1 + x) + -2x = 5(2 + -1x) + -12 (-1 * 3 + x * 3) + -2x = 5(2 + -1x) + -12 (-3 + 3x) + -2x = 5(2 + -1x) + -12 Combine like terms: 3x + -2x = 1x -3 + 1x = 5(2 + -1x) + -12 -3 + 1x = (2 * 5 + -1x * 5) + -12 -3 + 1x = (10 + -5x) + -12 Reorder the terms: -3 + 1x = 10 + -12 + -5x Combine like terms: 10 + -12 = -2 -3 + 1x = -2 + -5x Solving -3 + 1x = -2 + -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. -3 + 1x + 5x = -2 + -5x + 5x Combine like terms: 1x + 5x = 6x -3 + 6x = -2 + -5x + 5x Combine like terms: -5x + 5x = 0 -3 + 6x = -2 + 0 -3 + 6x = -2 Add '3' to each side of the equation. -3 + 3 + 6x = -2 + 3 Combine like terms: -3 + 3 = 0 0 + 6x = -2 + 3 6x = -2 + 3 Combine like terms: -2 + 3 = 1 6x = 1 Divide each side by '6'. x = 0.1666666667 Simplifying x = 0.1666666667
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