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Simplifying 3x + -1(2x + 2) = 2x + -32 Reorder the terms: 3x + -1(2 + 2x) = 2x + -32 3x + (2 * -1 + 2x * -1) = 2x + -32 3x + (-2 + -2x) = 2x + -32 Reorder the terms: -2 + 3x + -2x = 2x + -32 Combine like terms: 3x + -2x = 1x -2 + 1x = 2x + -32 Reorder the terms: -2 + 1x = -32 + 2x Solving -2 + 1x = -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. -2 + 1x + -2x = -32 + 2x + -2x Combine like terms: 1x + -2x = -1x -2 + -1x = -32 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + -1x = -32 + 0 -2 + -1x = -32 Add '2' to each side of the equation. -2 + 2 + -1x = -32 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = -32 + 2 -1x = -32 + 2 Combine like terms: -32 + 2 = -30 -1x = -30 Divide each side by '-1'. x = 30 Simplifying x = 30
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