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Simplifying 2(5x + 2) = -1(x + 4) Reorder the terms: 2(2 + 5x) = -1(x + 4) (2 * 2 + 5x * 2) = -1(x + 4) (4 + 10x) = -1(x + 4) Reorder the terms: 4 + 10x = -1(4 + x) 4 + 10x = (4 * -1 + x * -1) 4 + 10x = (-4 + -1x) Solving 4 + 10x = -4 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 4 + 10x + x = -4 + -1x + x Combine like terms: 10x + x = 11x 4 + 11x = -4 + -1x + x Combine like terms: -1x + x = 0 4 + 11x = -4 + 0 4 + 11x = -4 Add '-4' to each side of the equation. 4 + -4 + 11x = -4 + -4 Combine like terms: 4 + -4 = 0 0 + 11x = -4 + -4 11x = -4 + -4 Combine like terms: -4 + -4 = -8 11x = -8 Divide each side by '11'. x = -0.7272727273 Simplifying x = -0.7272727273
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