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Simplifying 3(4x + 1) + 2 = 5(2x + -3) + -10 Reorder the terms: 3(1 + 4x) + 2 = 5(2x + -3) + -10 (1 * 3 + 4x * 3) + 2 = 5(2x + -3) + -10 (3 + 12x) + 2 = 5(2x + -3) + -10 Reorder the terms: 3 + 2 + 12x = 5(2x + -3) + -10 Combine like terms: 3 + 2 = 5 5 + 12x = 5(2x + -3) + -10 Reorder the terms: 5 + 12x = 5(-3 + 2x) + -10 5 + 12x = (-3 * 5 + 2x * 5) + -10 5 + 12x = (-15 + 10x) + -10 Reorder the terms: 5 + 12x = -15 + -10 + 10x Combine like terms: -15 + -10 = -25 5 + 12x = -25 + 10x Solving 5 + 12x = -25 + 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. 5 + 12x + -10x = -25 + 10x + -10x Combine like terms: 12x + -10x = 2x 5 + 2x = -25 + 10x + -10x Combine like terms: 10x + -10x = 0 5 + 2x = -25 + 0 5 + 2x = -25 Add '-5' to each side of the equation. 5 + -5 + 2x = -25 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = -25 + -5 2x = -25 + -5 Combine like terms: -25 + -5 = -30 2x = -30 Divide each side by '2'. x = -15 Simplifying x = -15
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