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Simplifying 3(1 + 4x) = 2(5x + -3) + 25 (1 * 3 + 4x * 3) = 2(5x + -3) + 25 (3 + 12x) = 2(5x + -3) + 25 Reorder the terms: 3 + 12x = 2(-3 + 5x) + 25 3 + 12x = (-3 * 2 + 5x * 2) + 25 3 + 12x = (-6 + 10x) + 25 Reorder the terms: 3 + 12x = -6 + 25 + 10x Combine like terms: -6 + 25 = 19 3 + 12x = 19 + 10x Solving 3 + 12x = 19 + 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. 3 + 12x + -10x = 19 + 10x + -10x Combine like terms: 12x + -10x = 2x 3 + 2x = 19 + 10x + -10x Combine like terms: 10x + -10x = 0 3 + 2x = 19 + 0 3 + 2x = 19 Add '-3' to each side of the equation. 3 + -3 + 2x = 19 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 19 + -3 2x = 19 + -3 Combine like terms: 19 + -3 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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