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Simplifying 15x + -3(2x + -5) = 8x + 1 Reorder the terms: 15x + -3(-5 + 2x) = 8x + 1 15x + (-5 * -3 + 2x * -3) = 8x + 1 15x + (15 + -6x) = 8x + 1 Reorder the terms: 15 + 15x + -6x = 8x + 1 Combine like terms: 15x + -6x = 9x 15 + 9x = 8x + 1 Reorder the terms: 15 + 9x = 1 + 8x Solving 15 + 9x = 1 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 15 + 9x + -8x = 1 + 8x + -8x Combine like terms: 9x + -8x = 1x 15 + 1x = 1 + 8x + -8x Combine like terms: 8x + -8x = 0 15 + 1x = 1 + 0 15 + 1x = 1 Add '-15' to each side of the equation. 15 + -15 + 1x = 1 + -15 Combine like terms: 15 + -15 = 0 0 + 1x = 1 + -15 1x = 1 + -15 Combine like terms: 1 + -15 = -14 1x = -14 Divide each side by '1'. x = -14 Simplifying x = -14
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