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Simplifying 8(2x + 1) + -3(5x + -3) = 1 Reorder the terms: 8(1 + 2x) + -3(5x + -3) = 1 (1 * 8 + 2x * 8) + -3(5x + -3) = 1 (8 + 16x) + -3(5x + -3) = 1 Reorder the terms: 8 + 16x + -3(-3 + 5x) = 1 8 + 16x + (-3 * -3 + 5x * -3) = 1 8 + 16x + (9 + -15x) = 1 Reorder the terms: 8 + 9 + 16x + -15x = 1 Combine like terms: 8 + 9 = 17 17 + 16x + -15x = 1 Combine like terms: 16x + -15x = 1x 17 + 1x = 1 Solving 17 + 1x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 1x = 1 + -17 Combine like terms: 17 + -17 = 0 0 + 1x = 1 + -17 1x = 1 + -17 Combine like terms: 1 + -17 = -16 1x = -16 Divide each side by '1'. x = -16 Simplifying x = -16
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