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Simplifying 5 + 3(3 + -2x) + 1 = 3 + -2(4 + -5x) + -12 5 + (3 * 3 + -2x * 3) + 1 = 3 + -2(4 + -5x) + -12 5 + (9 + -6x) + 1 = 3 + -2(4 + -5x) + -12 Reorder the terms: 5 + 9 + 1 + -6x = 3 + -2(4 + -5x) + -12 Combine like terms: 5 + 9 = 14 14 + 1 + -6x = 3 + -2(4 + -5x) + -12 Combine like terms: 14 + 1 = 15 15 + -6x = 3 + -2(4 + -5x) + -12 15 + -6x = 3 + (4 * -2 + -5x * -2) + -12 15 + -6x = 3 + (-8 + 10x) + -12 Reorder the terms: 15 + -6x = 3 + -8 + -12 + 10x Combine like terms: 3 + -8 = -5 15 + -6x = -5 + -12 + 10x Combine like terms: -5 + -12 = -17 15 + -6x = -17 + 10x Solving 15 + -6x = -17 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 15 + -6x + -10x = -17 + 10x + -10x Combine like terms: -6x + -10x = -16x 15 + -16x = -17 + 10x + -10x Combine like terms: 10x + -10x = 0 15 + -16x = -17 + 0 15 + -16x = -17 Add '-15' to each side of the equation. 15 + -15 + -16x = -17 + -15 Combine like terms: 15 + -15 = 0 0 + -16x = -17 + -15 -16x = -17 + -15 Combine like terms: -17 + -15 = -32 -16x = -32 Divide each side by '-16'. x = 2 Simplifying x = 2
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