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Simplifying 2x + -32 = 3(x + 2) Reorder the terms: -32 + 2x = 3(x + 2) Reorder the terms: -32 + 2x = 3(2 + x) -32 + 2x = (2 * 3 + x * 3) -32 + 2x = (6 + 3x) Solving -32 + 2x = 6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -32 + 2x + -3x = 6 + 3x + -3x Combine like terms: 2x + -3x = -1x -32 + -1x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 -32 + -1x = 6 + 0 -32 + -1x = 6 Add '32' to each side of the equation. -32 + 32 + -1x = 6 + 32 Combine like terms: -32 + 32 = 0 0 + -1x = 6 + 32 -1x = 6 + 32 Combine like terms: 6 + 32 = 38 -1x = 38 Divide each side by '-1'. x = -38 Simplifying x = -38
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