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Simplifying 5(3x + 3) = -2x + 32 Reorder the terms: 5(3 + 3x) = -2x + 32 (3 * 5 + 3x * 5) = -2x + 32 (15 + 15x) = -2x + 32 Reorder the terms: 15 + 15x = 32 + -2x Solving 15 + 15x = 32 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 15 + 15x + 2x = 32 + -2x + 2x Combine like terms: 15x + 2x = 17x 15 + 17x = 32 + -2x + 2x Combine like terms: -2x + 2x = 0 15 + 17x = 32 + 0 15 + 17x = 32 Add '-15' to each side of the equation. 15 + -15 + 17x = 32 + -15 Combine like terms: 15 + -15 = 0 0 + 17x = 32 + -15 17x = 32 + -15 Combine like terms: 32 + -15 = 17 17x = 17 Divide each side by '17'. x = 1 Simplifying x = 1
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