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Simplifying 2(10 + -2x) = 4(3x + 1) (10 * 2 + -2x * 2) = 4(3x + 1) (20 + -4x) = 4(3x + 1) Reorder the terms: 20 + -4x = 4(1 + 3x) 20 + -4x = (1 * 4 + 3x * 4) 20 + -4x = (4 + 12x) Solving 20 + -4x = 4 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 20 + -4x + -12x = 4 + 12x + -12x Combine like terms: -4x + -12x = -16x 20 + -16x = 4 + 12x + -12x Combine like terms: 12x + -12x = 0 20 + -16x = 4 + 0 20 + -16x = 4 Add '-20' to each side of the equation. 20 + -20 + -16x = 4 + -20 Combine like terms: 20 + -20 = 0 0 + -16x = 4 + -20 -16x = 4 + -20 Combine like terms: 4 + -20 = -16 -16x = -16 Divide each side by '-16'. x = 1 Simplifying x = 1
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