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Simplifying -32 + 6x = 4(2x + -5) Reorder the terms: -32 + 6x = 4(-5 + 2x) -32 + 6x = (-5 * 4 + 2x * 4) -32 + 6x = (-20 + 8x) Solving -32 + 6x = -20 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -32 + 6x + -8x = -20 + 8x + -8x Combine like terms: 6x + -8x = -2x -32 + -2x = -20 + 8x + -8x Combine like terms: 8x + -8x = 0 -32 + -2x = -20 + 0 -32 + -2x = -20 Add '32' to each side of the equation. -32 + 32 + -2x = -20 + 32 Combine like terms: -32 + 32 = 0 0 + -2x = -20 + 32 -2x = -20 + 32 Combine like terms: -20 + 32 = 12 -2x = 12 Divide each side by '-2'. x = -6 Simplifying x = -6
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