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Simplifying 13 + -1(x + 7) = 6x + -8 Reorder the terms: 13 + -1(7 + x) = 6x + -8 13 + (7 * -1 + x * -1) = 6x + -8 13 + (-7 + -1x) = 6x + -8 Combine like terms: 13 + -7 = 6 6 + -1x = 6x + -8 Reorder the terms: 6 + -1x = -8 + 6x Solving 6 + -1x = -8 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 6 + -1x + -6x = -8 + 6x + -6x Combine like terms: -1x + -6x = -7x 6 + -7x = -8 + 6x + -6x Combine like terms: 6x + -6x = 0 6 + -7x = -8 + 0 6 + -7x = -8 Add '-6' to each side of the equation. 6 + -6 + -7x = -8 + -6 Combine like terms: 6 + -6 = 0 0 + -7x = -8 + -6 -7x = -8 + -6 Combine like terms: -8 + -6 = -14 -7x = -14 Divide each side by '-7'. x = 2 Simplifying x = 2
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