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Simplifying 12(x + 4) + -4(x + -7) = 24 Reorder the terms: 12(4 + x) + -4(x + -7) = 24 (4 * 12 + x * 12) + -4(x + -7) = 24 (48 + 12x) + -4(x + -7) = 24 Reorder the terms: 48 + 12x + -4(-7 + x) = 24 48 + 12x + (-7 * -4 + x * -4) = 24 48 + 12x + (28 + -4x) = 24 Reorder the terms: 48 + 28 + 12x + -4x = 24 Combine like terms: 48 + 28 = 76 76 + 12x + -4x = 24 Combine like terms: 12x + -4x = 8x 76 + 8x = 24 Solving 76 + 8x = 24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-76' to each side of the equation. 76 + -76 + 8x = 24 + -76 Combine like terms: 76 + -76 = 0 0 + 8x = 24 + -76 8x = 24 + -76 Combine like terms: 24 + -76 = -52 8x = -52 Divide each side by '8'. x = -6.5 Simplifying x = -6.5
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