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Simplifying 2(4 + -4x) = 4(6x + 10) (4 * 2 + -4x * 2) = 4(6x + 10) (8 + -8x) = 4(6x + 10) Reorder the terms: 8 + -8x = 4(10 + 6x) 8 + -8x = (10 * 4 + 6x * 4) 8 + -8x = (40 + 24x) Solving 8 + -8x = 40 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 8 + -8x + -24x = 40 + 24x + -24x Combine like terms: -8x + -24x = -32x 8 + -32x = 40 + 24x + -24x Combine like terms: 24x + -24x = 0 8 + -32x = 40 + 0 8 + -32x = 40 Add '-8' to each side of the equation. 8 + -8 + -32x = 40 + -8 Combine like terms: 8 + -8 = 0 0 + -32x = 40 + -8 -32x = 40 + -8 Combine like terms: 40 + -8 = 32 -32x = 32 Divide each side by '-32'. x = -1 Simplifying x = -1
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