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Simplifying 15x + 1 = 3(5x + 1) + -1x + 8 Reorder the terms: 1 + 15x = 3(5x + 1) + -1x + 8 Reorder the terms: 1 + 15x = 3(1 + 5x) + -1x + 8 1 + 15x = (1 * 3 + 5x * 3) + -1x + 8 1 + 15x = (3 + 15x) + -1x + 8 Reorder the terms: 1 + 15x = 3 + 8 + 15x + -1x Combine like terms: 3 + 8 = 11 1 + 15x = 11 + 15x + -1x Combine like terms: 15x + -1x = 14x 1 + 15x = 11 + 14x Solving 1 + 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. 1 + 15x + -14x = 11 + 14x + -14x Combine like terms: 15x + -14x = 1x 1 + 1x = 11 + 14x + -14x Combine like terms: 14x + -14x = 0 1 + 1x = 11 + 0 1 + 1x = 11 Add '-1' to each side of the equation. 1 + -1 + 1x = 11 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = 11 + -1 1x = 11 + -1 Combine like terms: 11 + -1 = 10 1x = 10 Divide each side by '1'. x = 10 Simplifying x = 10
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