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Simplifying 117 + -1(5x + 10) = 5(x + 6) + 6 Reorder the terms: 117 + -1(10 + 5x) = 5(x + 6) + 6 117 + (10 * -1 + 5x * -1) = 5(x + 6) + 6 117 + (-10 + -5x) = 5(x + 6) + 6 Combine like terms: 117 + -10 = 107 107 + -5x = 5(x + 6) + 6 Reorder the terms: 107 + -5x = 5(6 + x) + 6 107 + -5x = (6 * 5 + x * 5) + 6 107 + -5x = (30 + 5x) + 6 Reorder the terms: 107 + -5x = 30 + 6 + 5x Combine like terms: 30 + 6 = 36 107 + -5x = 36 + 5x Solving 107 + -5x = 36 + 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. 107 + -5x + -5x = 36 + 5x + -5x Combine like terms: -5x + -5x = -10x 107 + -10x = 36 + 5x + -5x Combine like terms: 5x + -5x = 0 107 + -10x = 36 + 0 107 + -10x = 36 Add '-107' to each side of the equation. 107 + -107 + -10x = 36 + -107 Combine like terms: 107 + -107 = 0 0 + -10x = 36 + -107 -10x = 36 + -107 Combine like terms: 36 + -107 = -71 -10x = -71 Divide each side by '-10'. x = 7.1 Simplifying x = 7.1
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