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Simplifying 8 + -1(x + -2) + 6x + 7 = x + 13 Reorder the terms: 8 + -1(-2 + x) + 6x + 7 = x + 13 8 + (-2 * -1 + x * -1) + 6x + 7 = x + 13 8 + (2 + -1x) + 6x + 7 = x + 13 Reorder the terms: 8 + 2 + 7 + -1x + 6x = x + 13 Combine like terms: 8 + 2 = 10 10 + 7 + -1x + 6x = x + 13 Combine like terms: 10 + 7 = 17 17 + -1x + 6x = x + 13 Combine like terms: -1x + 6x = 5x 17 + 5x = x + 13 Reorder the terms: 17 + 5x = 13 + x Solving 17 + 5x = 13 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 17 + 5x + -1x = 13 + x + -1x Combine like terms: 5x + -1x = 4x 17 + 4x = 13 + x + -1x Combine like terms: x + -1x = 0 17 + 4x = 13 + 0 17 + 4x = 13 Add '-17' to each side of the equation. 17 + -17 + 4x = 13 + -17 Combine like terms: 17 + -17 = 0 0 + 4x = 13 + -17 4x = 13 + -17 Combine like terms: 13 + -17 = -4 4x = -4 Divide each side by '4'. x = -1 Simplifying x = -1
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