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Simplifying 3(x + 4) = 2(5x + -1) Reorder the terms: 3(4 + x) = 2(5x + -1) (4 * 3 + x * 3) = 2(5x + -1) (12 + 3x) = 2(5x + -1) Reorder the terms: 12 + 3x = 2(-1 + 5x) 12 + 3x = (-1 * 2 + 5x * 2) 12 + 3x = (-2 + 10x) Solving 12 + 3x = -2 + 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. 12 + 3x + -10x = -2 + 10x + -10x Combine like terms: 3x + -10x = -7x 12 + -7x = -2 + 10x + -10x Combine like terms: 10x + -10x = 0 12 + -7x = -2 + 0 12 + -7x = -2 Add '-12' to each side of the equation. 12 + -12 + -7x = -2 + -12 Combine like terms: 12 + -12 = 0 0 + -7x = -2 + -12 -7x = -2 + -12 Combine like terms: -2 + -12 = -14 -7x = -14 Divide each side by '-7'. x = 2 Simplifying x = 2
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