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Simplifying 3(4x + -3) = 5(2x + 7) Reorder the terms: 3(-3 + 4x) = 5(2x + 7) (-3 * 3 + 4x * 3) = 5(2x + 7) (-9 + 12x) = 5(2x + 7) Reorder the terms: -9 + 12x = 5(7 + 2x) -9 + 12x = (7 * 5 + 2x * 5) -9 + 12x = (35 + 10x) Solving -9 + 12x = 35 + 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. -9 + 12x + -10x = 35 + 10x + -10x Combine like terms: 12x + -10x = 2x -9 + 2x = 35 + 10x + -10x Combine like terms: 10x + -10x = 0 -9 + 2x = 35 + 0 -9 + 2x = 35 Add '9' to each side of the equation. -9 + 9 + 2x = 35 + 9 Combine like terms: -9 + 9 = 0 0 + 2x = 35 + 9 2x = 35 + 9 Combine like terms: 35 + 9 = 44 2x = 44 Divide each side by '2'. x = 22 Simplifying x = 22
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