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Simplifying 3(4x + -3) = 5(5 + -1x) Reorder the terms: 3(-3 + 4x) = 5(5 + -1x) (-3 * 3 + 4x * 3) = 5(5 + -1x) (-9 + 12x) = 5(5 + -1x) -9 + 12x = (5 * 5 + -1x * 5) -9 + 12x = (25 + -5x) Solving -9 + 12x = 25 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -9 + 12x + 5x = 25 + -5x + 5x Combine like terms: 12x + 5x = 17x -9 + 17x = 25 + -5x + 5x Combine like terms: -5x + 5x = 0 -9 + 17x = 25 + 0 -9 + 17x = 25 Add '9' to each side of the equation. -9 + 9 + 17x = 25 + 9 Combine like terms: -9 + 9 = 0 0 + 17x = 25 + 9 17x = 25 + 9 Combine like terms: 25 + 9 = 34 17x = 34 Divide each side by '17'. x = 2 Simplifying x = 2
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