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Simplifying 3(2x + -1) + -3(x + -2) = 5x + 12 Reorder the terms: 3(-1 + 2x) + -3(x + -2) = 5x + 12 (-1 * 3 + 2x * 3) + -3(x + -2) = 5x + 12 (-3 + 6x) + -3(x + -2) = 5x + 12 Reorder the terms: -3 + 6x + -3(-2 + x) = 5x + 12 -3 + 6x + (-2 * -3 + x * -3) = 5x + 12 -3 + 6x + (6 + -3x) = 5x + 12 Reorder the terms: -3 + 6 + 6x + -3x = 5x + 12 Combine like terms: -3 + 6 = 3 3 + 6x + -3x = 5x + 12 Combine like terms: 6x + -3x = 3x 3 + 3x = 5x + 12 Reorder the terms: 3 + 3x = 12 + 5x Solving 3 + 3x = 12 + 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 + 3x + -5x = 12 + 5x + -5x Combine like terms: 3x + -5x = -2x 3 + -2x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 3 + -2x = 12 + 0 3 + -2x = 12 Add '-3' to each side of the equation. 3 + -3 + -2x = 12 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 12 + -3 -2x = 12 + -3 Combine like terms: 12 + -3 = 9 -2x = 9 Divide each side by '-2'. x = -4.5 Simplifying x = -4.5
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