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Simplifying 3(5 + 5x) = 7x + -9 (5 * 3 + 5x * 3) = 7x + -9 (15 + 15x) = 7x + -9 Reorder the terms: 15 + 15x = -9 + 7x Solving 15 + 15x = -9 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 15 + 15x + -7x = -9 + 7x + -7x Combine like terms: 15x + -7x = 8x 15 + 8x = -9 + 7x + -7x Combine like terms: 7x + -7x = 0 15 + 8x = -9 + 0 15 + 8x = -9 Add '-15' to each side of the equation. 15 + -15 + 8x = -9 + -15 Combine like terms: 15 + -15 = 0 0 + 8x = -9 + -15 8x = -9 + -15 Combine like terms: -9 + -15 = -24 8x = -24 Divide each side by '8'. x = -3 Simplifying x = -3
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