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Simplifying 5(4 + -4x + -8x) + 7(8x + 4) = 12 Combine like terms: -4x + -8x = -12x 5(4 + -12x) + 7(8x + 4) = 12 (4 * 5 + -12x * 5) + 7(8x + 4) = 12 (20 + -60x) + 7(8x + 4) = 12 Reorder the terms: 20 + -60x + 7(4 + 8x) = 12 20 + -60x + (4 * 7 + 8x * 7) = 12 20 + -60x + (28 + 56x) = 12 Reorder the terms: 20 + 28 + -60x + 56x = 12 Combine like terms: 20 + 28 = 48 48 + -60x + 56x = 12 Combine like terms: -60x + 56x = -4x 48 + -4x = 12 Solving 48 + -4x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + -4x = 12 + -48 Combine like terms: 48 + -48 = 0 0 + -4x = 12 + -48 -4x = 12 + -48 Combine like terms: 12 + -48 = -36 -4x = -36 Divide each side by '-4'. x = 9 Simplifying x = 9
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