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Simplifying 9x + 32 = 7x + -2(x + -2) Reorder the terms: 32 + 9x = 7x + -2(x + -2) Reorder the terms: 32 + 9x = 7x + -2(-2 + x) 32 + 9x = 7x + (-2 * -2 + x * -2) 32 + 9x = 7x + (4 + -2x) Reorder the terms: 32 + 9x = 4 + 7x + -2x Combine like terms: 7x + -2x = 5x 32 + 9x = 4 + 5x Solving 32 + 9x = 4 + 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 + 9x + -5x = 4 + 5x + -5x Combine like terms: 9x + -5x = 4x 32 + 4x = 4 + 5x + -5x Combine like terms: 5x + -5x = 0 32 + 4x = 4 + 0 32 + 4x = 4 Add '-32' to each side of the equation. 32 + -32 + 4x = 4 + -32 Combine like terms: 32 + -32 = 0 0 + 4x = 4 + -32 4x = 4 + -32 Combine like terms: 4 + -32 = -28 4x = -28 Divide each side by '4'. x = -7 Simplifying x = -7
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