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Simplifying -4(3 + -2x) = 2(10 + -8x) (3 * -4 + -2x * -4) = 2(10 + -8x) (-12 + 8x) = 2(10 + -8x) -12 + 8x = (10 * 2 + -8x * 2) -12 + 8x = (20 + -16x) Solving -12 + 8x = 20 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. -12 + 8x + 16x = 20 + -16x + 16x Combine like terms: 8x + 16x = 24x -12 + 24x = 20 + -16x + 16x Combine like terms: -16x + 16x = 0 -12 + 24x = 20 + 0 -12 + 24x = 20 Add '12' to each side of the equation. -12 + 12 + 24x = 20 + 12 Combine like terms: -12 + 12 = 0 0 + 24x = 20 + 12 24x = 20 + 12 Combine like terms: 20 + 12 = 32 24x = 32 Divide each side by '24'. x = 1.333333333 Simplifying x = 1.333333333
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