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Simplifying 8x + -5x + 1 = -1(2x + -13) + -1 Reorder the terms: 1 + 8x + -5x = -1(2x + -13) + -1 Combine like terms: 8x + -5x = 3x 1 + 3x = -1(2x + -13) + -1 Reorder the terms: 1 + 3x = -1(-13 + 2x) + -1 1 + 3x = (-13 * -1 + 2x * -1) + -1 1 + 3x = (13 + -2x) + -1 Reorder the terms: 1 + 3x = 13 + -1 + -2x Combine like terms: 13 + -1 = 12 1 + 3x = 12 + -2x Solving 1 + 3x = 12 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 1 + 3x + 2x = 12 + -2x + 2x Combine like terms: 3x + 2x = 5x 1 + 5x = 12 + -2x + 2x Combine like terms: -2x + 2x = 0 1 + 5x = 12 + 0 1 + 5x = 12 Add '-1' to each side of the equation. 1 + -1 + 5x = 12 + -1 Combine like terms: 1 + -1 = 0 0 + 5x = 12 + -1 5x = 12 + -1 Combine like terms: 12 + -1 = 11 5x = 11 Divide each side by '5'. x = 2.2 Simplifying x = 2.2
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