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Simplifying 7x + 32 = 2(x + -9) Reorder the terms: 32 + 7x = 2(x + -9) Reorder the terms: 32 + 7x = 2(-9 + x) 32 + 7x = (-9 * 2 + x * 2) 32 + 7x = (-18 + 2x) Solving 32 + 7x = -18 + 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 + 7x + -2x = -18 + 2x + -2x Combine like terms: 7x + -2x = 5x 32 + 5x = -18 + 2x + -2x Combine like terms: 2x + -2x = 0 32 + 5x = -18 + 0 32 + 5x = -18 Add '-32' to each side of the equation. 32 + -32 + 5x = -18 + -32 Combine like terms: 32 + -32 = 0 0 + 5x = -18 + -32 5x = -18 + -32 Combine like terms: -18 + -32 = -50 5x = -50 Divide each side by '5'. x = -10 Simplifying x = -10
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