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Simplifying 4(3x + 4) = 2(5x + -7) Reorder the terms: 4(4 + 3x) = 2(5x + -7) (4 * 4 + 3x * 4) = 2(5x + -7) (16 + 12x) = 2(5x + -7) Reorder the terms: 16 + 12x = 2(-7 + 5x) 16 + 12x = (-7 * 2 + 5x * 2) 16 + 12x = (-14 + 10x) Solving 16 + 12x = -14 + 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. 16 + 12x + -10x = -14 + 10x + -10x Combine like terms: 12x + -10x = 2x 16 + 2x = -14 + 10x + -10x Combine like terms: 10x + -10x = 0 16 + 2x = -14 + 0 16 + 2x = -14 Add '-16' to each side of the equation. 16 + -16 + 2x = -14 + -16 Combine like terms: 16 + -16 = 0 0 + 2x = -14 + -16 2x = -14 + -16 Combine like terms: -14 + -16 = -30 2x = -30 Divide each side by '2'. x = -15 Simplifying x = -15
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