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Simplifying x + 32 = 3(2x + 2) + -9 Reorder the terms: 32 + x = 3(2x + 2) + -9 Reorder the terms: 32 + x = 3(2 + 2x) + -9 32 + x = (2 * 3 + 2x * 3) + -9 32 + x = (6 + 6x) + -9 Reorder the terms: 32 + x = 6 + -9 + 6x Combine like terms: 6 + -9 = -3 32 + x = -3 + 6x Solving 32 + x = -3 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 32 + x + -6x = -3 + 6x + -6x Combine like terms: x + -6x = -5x 32 + -5x = -3 + 6x + -6x Combine like terms: 6x + -6x = 0 32 + -5x = -3 + 0 32 + -5x = -3 Add '-32' to each side of the equation. 32 + -32 + -5x = -3 + -32 Combine like terms: 32 + -32 = 0 0 + -5x = -3 + -32 -5x = -3 + -32 Combine like terms: -3 + -32 = -35 -5x = -35 Divide each side by '-5'. x = 7 Simplifying x = 7
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