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Simplifying 4x + 6(-2x + 4) = -40 Reorder the terms: 4x + 6(4 + -2x) = -40 4x + (4 * 6 + -2x * 6) = -40 4x + (24 + -12x) = -40 Reorder the terms: 24 + 4x + -12x = -40 Combine like terms: 4x + -12x = -8x 24 + -8x = -40 Solving 24 + -8x = -40 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -8x = -40 + -24 Combine like terms: 24 + -24 = 0 0 + -8x = -40 + -24 -8x = -40 + -24 Combine like terms: -40 + -24 = -64 -8x = -64 Divide each side by '-8'. x = 8 Simplifying x = 8
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