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Simplifying 8 + -5x = 13 + -1(6x + 6) Reorder the terms: 8 + -5x = 13 + -1(6 + 6x) 8 + -5x = 13 + (6 * -1 + 6x * -1) 8 + -5x = 13 + (-6 + -6x) Combine like terms: 13 + -6 = 7 8 + -5x = 7 + -6x Solving 8 + -5x = 7 + -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. 8 + -5x + 6x = 7 + -6x + 6x Combine like terms: -5x + 6x = 1x 8 + 1x = 7 + -6x + 6x Combine like terms: -6x + 6x = 0 8 + 1x = 7 + 0 8 + 1x = 7 Add '-8' to each side of the equation. 8 + -8 + 1x = 7 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = 7 + -8 1x = 7 + -8 Combine like terms: 7 + -8 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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