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Simplifying 5(x + 3) + -1(1 + -3x) = 15 Reorder the terms: 5(3 + x) + -1(1 + -3x) = 15 (3 * 5 + x * 5) + -1(1 + -3x) = 15 (15 + 5x) + -1(1 + -3x) = 15 15 + 5x + (1 * -1 + -3x * -1) = 15 15 + 5x + (-1 + 3x) = 15 Reorder the terms: 15 + -1 + 5x + 3x = 15 Combine like terms: 15 + -1 = 14 14 + 5x + 3x = 15 Combine like terms: 5x + 3x = 8x 14 + 8x = 15 Solving 14 + 8x = 15 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 + 8x = 15 + -14 Combine like terms: 14 + -14 = 0 0 + 8x = 15 + -14 8x = 15 + -14 Combine like terms: 15 + -14 = 1 8x = 1 Divide each side by '8'. x = 0.125 Simplifying x = 0.125
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