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Simplifying 5(2x + -1) + 3(2x + 3) + 12 = 0 Reorder the terms: 5(-1 + 2x) + 3(2x + 3) + 12 = 0 (-1 * 5 + 2x * 5) + 3(2x + 3) + 12 = 0 (-5 + 10x) + 3(2x + 3) + 12 = 0 Reorder the terms: -5 + 10x + 3(3 + 2x) + 12 = 0 -5 + 10x + (3 * 3 + 2x * 3) + 12 = 0 -5 + 10x + (9 + 6x) + 12 = 0 Reorder the terms: -5 + 9 + 12 + 10x + 6x = 0 Combine like terms: -5 + 9 = 4 4 + 12 + 10x + 6x = 0 Combine like terms: 4 + 12 = 16 16 + 10x + 6x = 0 Combine like terms: 10x + 6x = 16x 16 + 16x = 0 Solving 16 + 16x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 16x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 16x = 0 + -16 16x = 0 + -16 Combine like terms: 0 + -16 = -16 16x = -16 Divide each side by '16'. x = -1 Simplifying x = -1
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