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Simplifying 5(3 + -3x) = -7x + 32 (3 * 5 + -3x * 5) = -7x + 32 (15 + -15x) = -7x + 32 Reorder the terms: 15 + -15x = 32 + -7x Solving 15 + -15x = 32 + -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 = 32 + -7x + 7x Combine like terms: -15x + 7x = -8x 15 + -8x = 32 + -7x + 7x Combine like terms: -7x + 7x = 0 15 + -8x = 32 + 0 15 + -8x = 32 Add '-15' to each side of the equation. 15 + -15 + -8x = 32 + -15 Combine like terms: 15 + -15 = 0 0 + -8x = 32 + -15 -8x = 32 + -15 Combine like terms: 32 + -15 = 17 -8x = 17 Divide each side by '-8'. x = -2.125 Simplifying x = -2.125
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