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Simplifying 5(x + 2) = -2(2x + -10) Reorder the terms: 5(2 + x) = -2(2x + -10) (2 * 5 + x * 5) = -2(2x + -10) (10 + 5x) = -2(2x + -10) Reorder the terms: 10 + 5x = -2(-10 + 2x) 10 + 5x = (-10 * -2 + 2x * -2) 10 + 5x = (20 + -4x) Solving 10 + 5x = 20 + -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. 10 + 5x + 4x = 20 + -4x + 4x Combine like terms: 5x + 4x = 9x 10 + 9x = 20 + -4x + 4x Combine like terms: -4x + 4x = 0 10 + 9x = 20 + 0 10 + 9x = 20 Add '-10' to each side of the equation. 10 + -10 + 9x = 20 + -10 Combine like terms: 10 + -10 = 0 0 + 9x = 20 + -10 9x = 20 + -10 Combine like terms: 20 + -10 = 10 9x = 10 Divide each side by '9'. x = 1.111111111 Simplifying x = 1.111111111
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