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Simplifying 5(2x + 3) + 9 = -2(-3x + -1) + 2x Reorder the terms: 5(3 + 2x) + 9 = -2(-3x + -1) + 2x (3 * 5 + 2x * 5) + 9 = -2(-3x + -1) + 2x (15 + 10x) + 9 = -2(-3x + -1) + 2x Reorder the terms: 15 + 9 + 10x = -2(-3x + -1) + 2x Combine like terms: 15 + 9 = 24 24 + 10x = -2(-3x + -1) + 2x Reorder the terms: 24 + 10x = -2(-1 + -3x) + 2x 24 + 10x = (-1 * -2 + -3x * -2) + 2x 24 + 10x = (2 + 6x) + 2x Combine like terms: 6x + 2x = 8x 24 + 10x = 2 + 8x Solving 24 + 10x = 2 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 24 + 10x + -8x = 2 + 8x + -8x Combine like terms: 10x + -8x = 2x 24 + 2x = 2 + 8x + -8x Combine like terms: 8x + -8x = 0 24 + 2x = 2 + 0 24 + 2x = 2 Add '-24' to each side of the equation. 24 + -24 + 2x = 2 + -24 Combine like terms: 24 + -24 = 0 0 + 2x = 2 + -24 2x = 2 + -24 Combine like terms: 2 + -24 = -22 2x = -22 Divide each side by '2'. x = -11 Simplifying x = -11
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