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Simplifying 5(1 + -2x) = 2(4 + -2x) (1 * 5 + -2x * 5) = 2(4 + -2x) (5 + -10x) = 2(4 + -2x) 5 + -10x = (4 * 2 + -2x * 2) 5 + -10x = (8 + -4x) Solving 5 + -10x = 8 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 5 + -10x + 4x = 8 + -4x + 4x Combine like terms: -10x + 4x = -6x 5 + -6x = 8 + -4x + 4x Combine like terms: -4x + 4x = 0 5 + -6x = 8 + 0 5 + -6x = 8 Add '-5' to each side of the equation. 5 + -5 + -6x = 8 + -5 Combine like terms: 5 + -5 = 0 0 + -6x = 8 + -5 -6x = 8 + -5 Combine like terms: 8 + -5 = 3 -6x = 3 Divide each side by '-6'. x = -0.5 Simplifying x = -0.5
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