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Simplifying (2x + 3x) + -3 = 32 + -1(4x + -2x) Combine like terms: 2x + 3x = 5x (5x) + -3 = 32 + -1(4x + -2x) (5x) + -3 = 32 + -1(4x + -2x) Reorder the terms: -3 + (5x) = 32 + -1(4x + -2x) Combine like terms: 4x + -2x = 2x -3 + (5x) = 32 + -1(2x) Remove parenthesis around (2x) -3 + (5x) = 32 + -1 * 2x Multiply -1 * 2 -3 + (5x) = 32 + -2x Solving -3 + (5x) = 32 + -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. -3 + (5x) + 2x = 32 + -2x + 2x Combine like terms: (5x) + 2x = 7x -3 + 7x = 32 + -2x + 2x Combine like terms: -2x + 2x = 0 -3 + 7x = 32 + 0 -3 + 7x = 32 Add '3' to each side of the equation. -3 + 3 + 7x = 32 + 3 Combine like terms: -3 + 3 = 0 0 + 7x = 32 + 3 7x = 32 + 3 Combine like terms: 32 + 3 = 35 7x = 35 Divide each side by '7'. x = 5 Simplifying x = 5
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