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Simplifying -2x + 32 = -2(-3x + -4) Reorder the terms: 32 + -2x = -2(-3x + -4) Reorder the terms: 32 + -2x = -2(-4 + -3x) 32 + -2x = (-4 * -2 + -3x * -2) 32 + -2x = (8 + 6x) Solving 32 + -2x = 8 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 32 + -2x + -6x = 8 + 6x + -6x Combine like terms: -2x + -6x = -8x 32 + -8x = 8 + 6x + -6x Combine like terms: 6x + -6x = 0 32 + -8x = 8 + 0 32 + -8x = 8 Add '-32' to each side of the equation. 32 + -32 + -8x = 8 + -32 Combine like terms: 32 + -32 = 0 0 + -8x = 8 + -32 -8x = 8 + -32 Combine like terms: 8 + -32 = -24 -8x = -24 Divide each side by '-8'. x = 3 Simplifying x = 3
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