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Simplifying -7x + 9 = -5(x + -3) Reorder the terms: 9 + -7x = -5(x + -3) Reorder the terms: 9 + -7x = -5(-3 + x) 9 + -7x = (-3 * -5 + x * -5) 9 + -7x = (15 + -5x) Solving 9 + -7x = 15 + -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 + -7x + 5x = 15 + -5x + 5x Combine like terms: -7x + 5x = -2x 9 + -2x = 15 + -5x + 5x Combine like terms: -5x + 5x = 0 9 + -2x = 15 + 0 9 + -2x = 15 Add '-9' to each side of the equation. 9 + -9 + -2x = 15 + -9 Combine like terms: 9 + -9 = 0 0 + -2x = 15 + -9 -2x = 15 + -9 Combine like terms: 15 + -9 = 6 -2x = 6 Divide each side by '-2'. x = -3 Simplifying x = -3
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