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Simplifying 4(3x + -1) = 2(5x + 7) Reorder the terms: 4(-1 + 3x) = 2(5x + 7) (-1 * 4 + 3x * 4) = 2(5x + 7) (-4 + 12x) = 2(5x + 7) Reorder the terms: -4 + 12x = 2(7 + 5x) -4 + 12x = (7 * 2 + 5x * 2) -4 + 12x = (14 + 10x) Solving -4 + 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. -4 + 12x + -10x = 14 + 10x + -10x Combine like terms: 12x + -10x = 2x -4 + 2x = 14 + 10x + -10x Combine like terms: 10x + -10x = 0 -4 + 2x = 14 + 0 -4 + 2x = 14 Add '4' to each side of the equation. -4 + 4 + 2x = 14 + 4 Combine like terms: -4 + 4 = 0 0 + 2x = 14 + 4 2x = 14 + 4 Combine like terms: 14 + 4 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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