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Simplifying 2(-3x + 4) = 2x + -32 Reorder the terms: 2(4 + -3x) = 2x + -32 (4 * 2 + -3x * 2) = 2x + -32 (8 + -6x) = 2x + -32 Reorder the terms: 8 + -6x = -32 + 2x Solving 8 + -6x = -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. 8 + -6x + -2x = -32 + 2x + -2x Combine like terms: -6x + -2x = -8x 8 + -8x = -32 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + -8x = -32 + 0 8 + -8x = -32 Add '-8' to each side of the equation. 8 + -8 + -8x = -32 + -8 Combine like terms: 8 + -8 = 0 0 + -8x = -32 + -8 -8x = -32 + -8 Combine like terms: -32 + -8 = -40 -8x = -40 Divide each side by '-8'. x = 5 Simplifying x = 5
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