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Simplifying 13x + -1(7x + -8) = 5(10 + -2) Reorder the terms: 13x + -1(-8 + 7x) = 5(10 + -2) 13x + (-8 * -1 + 7x * -1) = 5(10 + -2) 13x + (8 + -7x) = 5(10 + -2) Reorder the terms: 8 + 13x + -7x = 5(10 + -2) Combine like terms: 13x + -7x = 6x 8 + 6x = 5(10 + -2) Combine like terms: 10 + -2 = 8 8 + 6x = 5(8) Multiply 5 * 8 8 + 6x = 40 Solving 8 + 6x = 40 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 6x = 40 + -8 Combine like terms: 8 + -8 = 0 0 + 6x = 40 + -8 6x = 40 + -8 Combine like terms: 40 + -8 = 32 6x = 32 Divide each side by '6'. x = 5.333333333 Simplifying x = 5.333333333
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