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Simplifying -3x + 32 = 5x + -3(2x + -6) Reorder the terms: 32 + -3x = 5x + -3(2x + -6) Reorder the terms: 32 + -3x = 5x + -3(-6 + 2x) 32 + -3x = 5x + (-6 * -3 + 2x * -3) 32 + -3x = 5x + (18 + -6x) Reorder the terms: 32 + -3x = 18 + 5x + -6x Combine like terms: 5x + -6x = -1x 32 + -3x = 18 + -1x Solving 32 + -3x = 18 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 32 + -3x + x = 18 + -1x + x Combine like terms: -3x + x = -2x 32 + -2x = 18 + -1x + x Combine like terms: -1x + x = 0 32 + -2x = 18 + 0 32 + -2x = 18 Add '-32' to each side of the equation. 32 + -32 + -2x = 18 + -32 Combine like terms: 32 + -32 = 0 0 + -2x = 18 + -32 -2x = 18 + -32 Combine like terms: 18 + -32 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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