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Simplifying 5(13 + -9x) + -10(5 + 11x) = 170 (13 * 5 + -9x * 5) + -10(5 + 11x) = 170 (65 + -45x) + -10(5 + 11x) = 170 65 + -45x + (5 * -10 + 11x * -10) = 170 65 + -45x + (-50 + -110x) = 170 Reorder the terms: 65 + -50 + -45x + -110x = 170 Combine like terms: 65 + -50 = 15 15 + -45x + -110x = 170 Combine like terms: -45x + -110x = -155x 15 + -155x = 170 Solving 15 + -155x = 170 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -155x = 170 + -15 Combine like terms: 15 + -15 = 0 0 + -155x = 170 + -15 -155x = 170 + -15 Combine like terms: 170 + -15 = 155 -155x = 155 Divide each side by '-155'. x = -1 Simplifying x = -1
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