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Simplifying 2(x + -10) = 5(x + -13) Reorder the terms: 2(-10 + x) = 5(x + -13) (-10 * 2 + x * 2) = 5(x + -13) (-20 + 2x) = 5(x + -13) Reorder the terms: -20 + 2x = 5(-13 + x) -20 + 2x = (-13 * 5 + x * 5) -20 + 2x = (-65 + 5x) Solving -20 + 2x = -65 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -20 + 2x + -5x = -65 + 5x + -5x Combine like terms: 2x + -5x = -3x -20 + -3x = -65 + 5x + -5x Combine like terms: 5x + -5x = 0 -20 + -3x = -65 + 0 -20 + -3x = -65 Add '20' to each side of the equation. -20 + 20 + -3x = -65 + 20 Combine like terms: -20 + 20 = 0 0 + -3x = -65 + 20 -3x = -65 + 20 Combine like terms: -65 + 20 = -45 -3x = -45 Divide each side by '-3'. x = 15 Simplifying x = 15
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