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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 = 6 6 + 7 + -1x + 6x = x + 13 Combine like terms: 6 + 7 = 13 13 + -1x + 6x = x + 13 Combine like terms: -1x + 6x = 5x 13 + 5x = x + 13 Reorder the terms: 13 + 5x = 13 + x Add '-13' to each side of the equation. 13 + -13 + 5x = 13 + -13 + x Combine like terms: 13 + -13 = 0 0 + 5x = 13 + -13 + x 5x = 13 + -13 + x Combine like terms: 13 + -13 = 0 5x = 0 + x 5x = x Solving 5x = 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. 5x + -1x = x + -1x Combine like terms: 5x + -1x = 4x 4x = x + -1x Combine like terms: x + -1x = 0 4x = 0 Divide each side by '4'. x = 0 Simplifying x = 0
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