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Simplifying (2x + -3) + 32 = 5x + -7 Reorder the terms: (-3 + 2x) + 32 = 5x + -7 Remove parenthesis around (-3 + 2x) -3 + 2x + 32 = 5x + -7 Reorder the terms: -3 + 32 + 2x = 5x + -7 Combine like terms: -3 + 32 = 29 29 + 2x = 5x + -7 Reorder the terms: 29 + 2x = -7 + 5x Solving 29 + 2x = -7 + 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. 29 + 2x + -5x = -7 + 5x + -5x Combine like terms: 2x + -5x = -3x 29 + -3x = -7 + 5x + -5x Combine like terms: 5x + -5x = 0 29 + -3x = -7 + 0 29 + -3x = -7 Add '-29' to each side of the equation. 29 + -29 + -3x = -7 + -29 Combine like terms: 29 + -29 = 0 0 + -3x = -7 + -29 -3x = -7 + -29 Combine like terms: -7 + -29 = -36 -3x = -36 Divide each side by '-3'. x = 12 Simplifying x = 12
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