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Simplifying 24 = 6(-4 + 4x) + -6(4 + 8x) 24 = (-4 * 6 + 4x * 6) + -6(4 + 8x) 24 = (-24 + 24x) + -6(4 + 8x) 24 = -24 + 24x + (4 * -6 + 8x * -6) 24 = -24 + 24x + (-24 + -48x) Reorder the terms: 24 = -24 + -24 + 24x + -48x Combine like terms: -24 + -24 = -48 24 = -48 + 24x + -48x Combine like terms: 24x + -48x = -24x 24 = -48 + -24x Solving 24 = -48 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. 24 + 24x = -48 + -24x + 24x Combine like terms: -24x + 24x = 0 24 + 24x = -48 + 0 24 + 24x = -48 Add '-24' to each side of the equation. 24 + -24 + 24x = -48 + -24 Combine like terms: 24 + -24 = 0 0 + 24x = -48 + -24 24x = -48 + -24 Combine like terms: -48 + -24 = -72 24x = -72 Divide each side by '24'. x = -3 Simplifying x = -3
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