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Simplifying 32 = 5(x + 6) + -7x Reorder the terms: 32 = 5(6 + x) + -7x 32 = (6 * 5 + x * 5) + -7x 32 = (30 + 5x) + -7x Combine like terms: 5x + -7x = -2x 32 = 30 + -2x Solving 32 = 30 + -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. 32 + 2x = 30 + -2x + 2x Combine like terms: -2x + 2x = 0 32 + 2x = 30 + 0 32 + 2x = 30 Add '-32' to each side of the equation. 32 + -32 + 2x = 30 + -32 Combine like terms: 32 + -32 = 0 0 + 2x = 30 + -32 2x = 30 + -32 Combine like terms: 30 + -32 = -2 2x = -2 Divide each side by '2'. x = -1 Simplifying x = -1
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