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Simplifying 6(x + 8) + -2(x + -4) = 24 Reorder the terms: 6(8 + x) + -2(x + -4) = 24 (8 * 6 + x * 6) + -2(x + -4) = 24 (48 + 6x) + -2(x + -4) = 24 Reorder the terms: 48 + 6x + -2(-4 + x) = 24 48 + 6x + (-4 * -2 + x * -2) = 24 48 + 6x + (8 + -2x) = 24 Reorder the terms: 48 + 8 + 6x + -2x = 24 Combine like terms: 48 + 8 = 56 56 + 6x + -2x = 24 Combine like terms: 6x + -2x = 4x 56 + 4x = 24 Solving 56 + 4x = 24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-56' to each side of the equation. 56 + -56 + 4x = 24 + -56 Combine like terms: 56 + -56 = 0 0 + 4x = 24 + -56 4x = 24 + -56 Combine like terms: 24 + -56 = -32 4x = -32 Divide each side by '4'. x = -8 Simplifying x = -8
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