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Simplifying 3x + -2(-1x + 4) = x + 32 Reorder the terms: 3x + -2(4 + -1x) = x + 32 3x + (4 * -2 + -1x * -2) = x + 32 3x + (-8 + 2x) = x + 32 Reorder the terms: -8 + 3x + 2x = x + 32 Combine like terms: 3x + 2x = 5x -8 + 5x = x + 32 Reorder the terms: -8 + 5x = 32 + x Solving -8 + 5x = 32 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -8 + 5x + -1x = 32 + x + -1x Combine like terms: 5x + -1x = 4x -8 + 4x = 32 + x + -1x Combine like terms: x + -1x = 0 -8 + 4x = 32 + 0 -8 + 4x = 32 Add '8' to each side of the equation. -8 + 8 + 4x = 32 + 8 Combine like terms: -8 + 8 = 0 0 + 4x = 32 + 8 4x = 32 + 8 Combine like terms: 32 + 8 = 40 4x = 40 Divide each side by '4'. x = 10 Simplifying x = 10
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