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Simplifying 12(-5x + 2) + 8x = -4(8x + 4) Reorder the terms: 12(2 + -5x) + 8x = -4(8x + 4) (2 * 12 + -5x * 12) + 8x = -4(8x + 4) (24 + -60x) + 8x = -4(8x + 4) Combine like terms: -60x + 8x = -52x 24 + -52x = -4(8x + 4) Reorder the terms: 24 + -52x = -4(4 + 8x) 24 + -52x = (4 * -4 + 8x * -4) 24 + -52x = (-16 + -32x) Solving 24 + -52x = -16 + -32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32x' to each side of the equation. 24 + -52x + 32x = -16 + -32x + 32x Combine like terms: -52x + 32x = -20x 24 + -20x = -16 + -32x + 32x Combine like terms: -32x + 32x = 0 24 + -20x = -16 + 0 24 + -20x = -16 Add '-24' to each side of the equation. 24 + -24 + -20x = -16 + -24 Combine like terms: 24 + -24 = 0 0 + -20x = -16 + -24 -20x = -16 + -24 Combine like terms: -16 + -24 = -40 -20x = -40 Divide each side by '-20'. x = 2 Simplifying x = 2
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