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Simplifying 5(x + 3) + 2(3 + -1x) = 12 Reorder the terms: 5(3 + x) + 2(3 + -1x) = 12 (3 * 5 + x * 5) + 2(3 + -1x) = 12 (15 + 5x) + 2(3 + -1x) = 12 15 + 5x + (3 * 2 + -1x * 2) = 12 15 + 5x + (6 + -2x) = 12 Reorder the terms: 15 + 6 + 5x + -2x = 12 Combine like terms: 15 + 6 = 21 21 + 5x + -2x = 12 Combine like terms: 5x + -2x = 3x 21 + 3x = 12 Solving 21 + 3x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 3x = 12 + -21 Combine like terms: 21 + -21 = 0 0 + 3x = 12 + -21 3x = 12 + -21 Combine like terms: 12 + -21 = -9 3x = -9 Divide each side by '3'. x = -3 Simplifying x = -3
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