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Simplifying 15x + 2 = 3x + -1(8x + 13) Reorder the terms: 2 + 15x = 3x + -1(8x + 13) Reorder the terms: 2 + 15x = 3x + -1(13 + 8x) 2 + 15x = 3x + (13 * -1 + 8x * -1) 2 + 15x = 3x + (-13 + -8x) Reorder the terms: 2 + 15x = -13 + 3x + -8x Combine like terms: 3x + -8x = -5x 2 + 15x = -13 + -5x Solving 2 + 15x = -13 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 2 + 15x + 5x = -13 + -5x + 5x Combine like terms: 15x + 5x = 20x 2 + 20x = -13 + -5x + 5x Combine like terms: -5x + 5x = 0 2 + 20x = -13 + 0 2 + 20x = -13 Add '-2' to each side of the equation. 2 + -2 + 20x = -13 + -2 Combine like terms: 2 + -2 = 0 0 + 20x = -13 + -2 20x = -13 + -2 Combine like terms: -13 + -2 = -15 20x = -15 Divide each side by '20'. x = -0.75 Simplifying x = -0.75
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