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Simplifying 15x + 2 = 3(5x + 1) + -1x + 8 Reorder the terms: 2 + 15x = 3(5x + 1) + -1x + 8 Reorder the terms: 2 + 15x = 3(1 + 5x) + -1x + 8 2 + 15x = (1 * 3 + 5x * 3) + -1x + 8 2 + 15x = (3 + 15x) + -1x + 8 Reorder the terms: 2 + 15x = 3 + 8 + 15x + -1x Combine like terms: 3 + 8 = 11 2 + 15x = 11 + 15x + -1x Combine like terms: 15x + -1x = 14x 2 + 15x = 11 + 14x Solving 2 + 15x = 11 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 2 + 15x + -14x = 11 + 14x + -14x Combine like terms: 15x + -14x = 1x 2 + 1x = 11 + 14x + -14x Combine like terms: 14x + -14x = 0 2 + 1x = 11 + 0 2 + 1x = 11 Add '-2' to each side of the equation. 2 + -2 + 1x = 11 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = 11 + -2 1x = 11 + -2 Combine like terms: 11 + -2 = 9 1x = 9 Divide each side by '1'. x = 9 Simplifying x = 9
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