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Simplifying 1 + 8x = 3(5x + 1) + -2 Reorder the terms: 1 + 8x = 3(1 + 5x) + -2 1 + 8x = (1 * 3 + 5x * 3) + -2 1 + 8x = (3 + 15x) + -2 Reorder the terms: 1 + 8x = 3 + -2 + 15x Combine like terms: 3 + -2 = 1 1 + 8x = 1 + 15x Add '-1' to each side of the equation. 1 + -1 + 8x = 1 + -1 + 15x Combine like terms: 1 + -1 = 0 0 + 8x = 1 + -1 + 15x 8x = 1 + -1 + 15x Combine like terms: 1 + -1 = 0 8x = 0 + 15x 8x = 15x Solving 8x = 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 8x + -15x = 15x + -15x Combine like terms: 8x + -15x = -7x -7x = 15x + -15x Combine like terms: 15x + -15x = 0 -7x = 0 Divide each side by '-7'. x = 0 Simplifying x = 0
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