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