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Simplifying 5(x + 10) + -10x = 2(x + -10) Reorder the terms: 5(10 + x) + -10x = 2(x + -10) (10 * 5 + x * 5) + -10x = 2(x + -10) (50 + 5x) + -10x = 2(x + -10) Combine like terms: 5x + -10x = -5x 50 + -5x = 2(x + -10) Reorder the terms: 50 + -5x = 2(-10 + x) 50 + -5x = (-10 * 2 + x * 2) 50 + -5x = (-20 + 2x) Solving 50 + -5x = -20 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 50 + -5x + -2x = -20 + 2x + -2x Combine like terms: -5x + -2x = -7x 50 + -7x = -20 + 2x + -2x Combine like terms: 2x + -2x = 0 50 + -7x = -20 + 0 50 + -7x = -20 Add '-50' to each side of the equation. 50 + -50 + -7x = -20 + -50 Combine like terms: 50 + -50 = 0 0 + -7x = -20 + -50 -7x = -20 + -50 Combine like terms: -20 + -50 = -70 -7x = -70 Divide each side by '-7'. x = 10 Simplifying x = 10
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