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Simplifying 2(10 + -2x) = 4(2x + 2) (10 * 2 + -2x * 2) = 4(2x + 2) (20 + -4x) = 4(2x + 2) Reorder the terms: 20 + -4x = 4(2 + 2x) 20 + -4x = (2 * 4 + 2x * 4) 20 + -4x = (8 + 8x) Solving 20 + -4x = 8 + 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. 20 + -4x + -8x = 8 + 8x + -8x Combine like terms: -4x + -8x = -12x 20 + -12x = 8 + 8x + -8x Combine like terms: 8x + -8x = 0 20 + -12x = 8 + 0 20 + -12x = 8 Add '-20' to each side of the equation. 20 + -20 + -12x = 8 + -20 Combine like terms: 20 + -20 = 0 0 + -12x = 8 + -20 -12x = 8 + -20 Combine like terms: 8 + -20 = -12 -12x = -12 Divide each side by '-12'. x = 1 Simplifying x = 1
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