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Simplifying 6(x + 10) + 2 = -11(x + -8) + -8 Reorder the terms: 6(10 + x) + 2 = -11(x + -8) + -8 (10 * 6 + x * 6) + 2 = -11(x + -8) + -8 (60 + 6x) + 2 = -11(x + -8) + -8 Reorder the terms: 60 + 2 + 6x = -11(x + -8) + -8 Combine like terms: 60 + 2 = 62 62 + 6x = -11(x + -8) + -8 Reorder the terms: 62 + 6x = -11(-8 + x) + -8 62 + 6x = (-8 * -11 + x * -11) + -8 62 + 6x = (88 + -11x) + -8 Reorder the terms: 62 + 6x = 88 + -8 + -11x Combine like terms: 88 + -8 = 80 62 + 6x = 80 + -11x Solving 62 + 6x = 80 + -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. 62 + 6x + 11x = 80 + -11x + 11x Combine like terms: 6x + 11x = 17x 62 + 17x = 80 + -11x + 11x Combine like terms: -11x + 11x = 0 62 + 17x = 80 + 0 62 + 17x = 80 Add '-62' to each side of the equation. 62 + -62 + 17x = 80 + -62 Combine like terms: 62 + -62 = 0 0 + 17x = 80 + -62 17x = 80 + -62 Combine like terms: 80 + -62 = 18 17x = 18 Divide each side by '17'. x = 1.058823529 Simplifying x = 1.058823529
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