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Simplifying 8x + -5x + 2 = -1(2x + -13) + -1 Reorder the terms: 2 + 8x + -5x = -1(2x + -13) + -1 Combine like terms: 8x + -5x = 3x 2 + 3x = -1(2x + -13) + -1 Reorder the terms: 2 + 3x = -1(-13 + 2x) + -1 2 + 3x = (-13 * -1 + 2x * -1) + -1 2 + 3x = (13 + -2x) + -1 Reorder the terms: 2 + 3x = 13 + -1 + -2x Combine like terms: 13 + -1 = 12 2 + 3x = 12 + -2x Solving 2 + 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. 2 + 3x + 2x = 12 + -2x + 2x Combine like terms: 3x + 2x = 5x 2 + 5x = 12 + -2x + 2x Combine like terms: -2x + 2x = 0 2 + 5x = 12 + 0 2 + 5x = 12 Add '-2' to each side of the equation. 2 + -2 + 5x = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 5x = 12 + -2 5x = 12 + -2 Combine like terms: 12 + -2 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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