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Simplifying 2x + -5(x + -3) + -2(x + -10) = 0 Reorder the terms: 2x + -5(-3 + x) + -2(x + -10) = 0 2x + (-3 * -5 + x * -5) + -2(x + -10) = 0 2x + (15 + -5x) + -2(x + -10) = 0 Reorder the terms: 2x + 15 + -5x + -2(-10 + x) = 0 2x + 15 + -5x + (-10 * -2 + x * -2) = 0 2x + 15 + -5x + (20 + -2x) = 0 Reorder the terms: 15 + 20 + 2x + -5x + -2x = 0 Combine like terms: 15 + 20 = 35 35 + 2x + -5x + -2x = 0 Combine like terms: 2x + -5x = -3x 35 + -3x + -2x = 0 Combine like terms: -3x + -2x = -5x 35 + -5x = 0 Solving 35 + -5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + -5x = 0 + -35 Combine like terms: 35 + -35 = 0 0 + -5x = 0 + -35 -5x = 0 + -35 Combine like terms: 0 + -35 = -35 -5x = -35 Divide each side by '-5'. x = 7 Simplifying x = 7
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