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Simplifying -1(9x + 2) + 13x + 7 = -8x + 13 Reorder the terms: -1(2 + 9x) + 13x + 7 = -8x + 13 (2 * -1 + 9x * -1) + 13x + 7 = -8x + 13 (-2 + -9x) + 13x + 7 = -8x + 13 Reorder the terms: -2 + 7 + -9x + 13x = -8x + 13 Combine like terms: -2 + 7 = 5 5 + -9x + 13x = -8x + 13 Combine like terms: -9x + 13x = 4x 5 + 4x = -8x + 13 Reorder the terms: 5 + 4x = 13 + -8x Solving 5 + 4x = 13 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 5 + 4x + 8x = 13 + -8x + 8x Combine like terms: 4x + 8x = 12x 5 + 12x = 13 + -8x + 8x Combine like terms: -8x + 8x = 0 5 + 12x = 13 + 0 5 + 12x = 13 Add '-5' to each side of the equation. 5 + -5 + 12x = 13 + -5 Combine like terms: 5 + -5 = 0 0 + 12x = 13 + -5 12x = 13 + -5 Combine like terms: 13 + -5 = 8 12x = 8 Divide each side by '12'. x = 0.6666666667 Simplifying x = 0.6666666667
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