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Simplifying -32 + -8x = 4(4x + -2) Reorder the terms: -32 + -8x = 4(-2 + 4x) -32 + -8x = (-2 * 4 + 4x * 4) -32 + -8x = (-8 + 16x) Solving -32 + -8x = -8 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -32 + -8x + -16x = -8 + 16x + -16x Combine like terms: -8x + -16x = -24x -32 + -24x = -8 + 16x + -16x Combine like terms: 16x + -16x = 0 -32 + -24x = -8 + 0 -32 + -24x = -8 Add '32' to each side of the equation. -32 + 32 + -24x = -8 + 32 Combine like terms: -32 + 32 = 0 0 + -24x = -8 + 32 -24x = -8 + 32 Combine like terms: -8 + 32 = 24 -24x = 24 Divide each side by '-24'. x = -1 Simplifying x = -1
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