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Simplifying 5(1 + 11x) = 10(x + -7) (1 * 5 + 11x * 5) = 10(x + -7) (5 + 55x) = 10(x + -7) Reorder the terms: 5 + 55x = 10(-7 + x) 5 + 55x = (-7 * 10 + x * 10) 5 + 55x = (-70 + 10x) Solving 5 + 55x = -70 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 5 + 55x + -10x = -70 + 10x + -10x Combine like terms: 55x + -10x = 45x 5 + 45x = -70 + 10x + -10x Combine like terms: 10x + -10x = 0 5 + 45x = -70 + 0 5 + 45x = -70 Add '-5' to each side of the equation. 5 + -5 + 45x = -70 + -5 Combine like terms: 5 + -5 = 0 0 + 45x = -70 + -5 45x = -70 + -5 Combine like terms: -70 + -5 = -75 45x = -75 Divide each side by '45'. x = -1.666666667 Simplifying x = -1.666666667
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