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Simplifying -2x + 9 = -3(2x + 5) Reorder the terms: 9 + -2x = -3(2x + 5) Reorder the terms: 9 + -2x = -3(5 + 2x) 9 + -2x = (5 * -3 + 2x * -3) 9 + -2x = (-15 + -6x) Solving 9 + -2x = -15 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 9 + -2x + 6x = -15 + -6x + 6x Combine like terms: -2x + 6x = 4x 9 + 4x = -15 + -6x + 6x Combine like terms: -6x + 6x = 0 9 + 4x = -15 + 0 9 + 4x = -15 Add '-9' to each side of the equation. 9 + -9 + 4x = -15 + -9 Combine like terms: 9 + -9 = 0 0 + 4x = -15 + -9 4x = -15 + -9 Combine like terms: -15 + -9 = -24 4x = -24 Divide each side by '4'. x = -6 Simplifying x = -6
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