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Simplifying 5(2x + -1) + 7(2 + 3x) = -3(x + -3) Reorder the terms: 5(-1 + 2x) + 7(2 + 3x) = -3(x + -3) (-1 * 5 + 2x * 5) + 7(2 + 3x) = -3(x + -3) (-5 + 10x) + 7(2 + 3x) = -3(x + -3) -5 + 10x + (2 * 7 + 3x * 7) = -3(x + -3) -5 + 10x + (14 + 21x) = -3(x + -3) Reorder the terms: -5 + 14 + 10x + 21x = -3(x + -3) Combine like terms: -5 + 14 = 9 9 + 10x + 21x = -3(x + -3) Combine like terms: 10x + 21x = 31x 9 + 31x = -3(x + -3) Reorder the terms: 9 + 31x = -3(-3 + x) 9 + 31x = (-3 * -3 + x * -3) 9 + 31x = (9 + -3x) Add '-9' to each side of the equation. 9 + -9 + 31x = 9 + -9 + -3x Combine like terms: 9 + -9 = 0 0 + 31x = 9 + -9 + -3x 31x = 9 + -9 + -3x Combine like terms: 9 + -9 = 0 31x = 0 + -3x 31x = -3x Solving 31x = -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 31x + 3x = -3x + 3x Combine like terms: 31x + 3x = 34x 34x = -3x + 3x Combine like terms: -3x + 3x = 0 34x = 0 Divide each side by '34'. x = 0 Simplifying x = 0
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