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Simplifying 3(x + 3) + -2(x + 1) = 5x + 12 Reorder the terms: 3(3 + x) + -2(x + 1) = 5x + 12 (3 * 3 + x * 3) + -2(x + 1) = 5x + 12 (9 + 3x) + -2(x + 1) = 5x + 12 Reorder the terms: 9 + 3x + -2(1 + x) = 5x + 12 9 + 3x + (1 * -2 + x * -2) = 5x + 12 9 + 3x + (-2 + -2x) = 5x + 12 Reorder the terms: 9 + -2 + 3x + -2x = 5x + 12 Combine like terms: 9 + -2 = 7 7 + 3x + -2x = 5x + 12 Combine like terms: 3x + -2x = 1x 7 + 1x = 5x + 12 Reorder the terms: 7 + 1x = 12 + 5x Solving 7 + 1x = 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. 7 + 1x + -5x = 12 + 5x + -5x Combine like terms: 1x + -5x = -4x 7 + -4x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 7 + -4x = 12 + 0 7 + -4x = 12 Add '-7' to each side of the equation. 7 + -7 + -4x = 12 + -7 Combine like terms: 7 + -7 = 0 0 + -4x = 12 + -7 -4x = 12 + -7 Combine like terms: 12 + -7 = 5 -4x = 5 Divide each side by '-4'. x = -1.25 Simplifying x = -1.25
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