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Simplifying -12(7 + -4x) = -4(1 + -2x) (7 * -12 + -4x * -12) = -4(1 + -2x) (-84 + 48x) = -4(1 + -2x) -84 + 48x = (1 * -4 + -2x * -4) -84 + 48x = (-4 + 8x) Solving -84 + 48x = -4 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -84 + 48x + -8x = -4 + 8x + -8x Combine like terms: 48x + -8x = 40x -84 + 40x = -4 + 8x + -8x Combine like terms: 8x + -8x = 0 -84 + 40x = -4 + 0 -84 + 40x = -4 Add '84' to each side of the equation. -84 + 84 + 40x = -4 + 84 Combine like terms: -84 + 84 = 0 0 + 40x = -4 + 84 40x = -4 + 84 Combine like terms: -4 + 84 = 80 40x = 80 Divide each side by '40'. x = 2 Simplifying x = 2
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