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Simplifying 32 = -3 + 5(x + 6) Reorder the terms: 32 = -3 + 5(6 + x) 32 = -3 + (6 * 5 + x * 5) 32 = -3 + (30 + 5x) Combine like terms: -3 + 30 = 27 32 = 27 + 5x Solving 32 = 27 + 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. 32 + -5x = 27 + 5x + -5x Combine like terms: 5x + -5x = 0 32 + -5x = 27 + 0 32 + -5x = 27 Add '-32' to each side of the equation. 32 + -32 + -5x = 27 + -32 Combine like terms: 32 + -32 = 0 0 + -5x = 27 + -32 -5x = 27 + -32 Combine like terms: 27 + -32 = -5 -5x = -5 Divide each side by '-5'. x = 1 Simplifying x = 1
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