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Simplifying 10 = 5(2x + -5) + x + 13 Reorder the terms: 10 = 5(-5 + 2x) + x + 13 10 = (-5 * 5 + 2x * 5) + x + 13 10 = (-25 + 10x) + x + 13 Reorder the terms: 10 = -25 + 13 + 10x + x Combine like terms: -25 + 13 = -12 10 = -12 + 10x + x Combine like terms: 10x + x = 11x 10 = -12 + 11x Solving 10 = -12 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 10 + -11x = -12 + 11x + -11x Combine like terms: 11x + -11x = 0 10 + -11x = -12 + 0 10 + -11x = -12 Add '-10' to each side of the equation. 10 + -10 + -11x = -12 + -10 Combine like terms: 10 + -10 = 0 0 + -11x = -12 + -10 -11x = -12 + -10 Combine like terms: -12 + -10 = -22 -11x = -22 Divide each side by '-11'. x = 2 Simplifying x = 2
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