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Simplifying 2(1 + 5x) = -4(10x + 12) (1 * 2 + 5x * 2) = -4(10x + 12) (2 + 10x) = -4(10x + 12) Reorder the terms: 2 + 10x = -4(12 + 10x) 2 + 10x = (12 * -4 + 10x * -4) 2 + 10x = (-48 + -40x) Solving 2 + 10x = -48 + -40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40x' to each side of the equation. 2 + 10x + 40x = -48 + -40x + 40x Combine like terms: 10x + 40x = 50x 2 + 50x = -48 + -40x + 40x Combine like terms: -40x + 40x = 0 2 + 50x = -48 + 0 2 + 50x = -48 Add '-2' to each side of the equation. 2 + -2 + 50x = -48 + -2 Combine like terms: 2 + -2 = 0 0 + 50x = -48 + -2 50x = -48 + -2 Combine like terms: -48 + -2 = -50 50x = -50 Divide each side by '50'. x = -1 Simplifying x = -1
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