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Simplifying 5(3 + -1x) + 8 = 3(x + 5) (3 * 5 + -1x * 5) + 8 = 3(x + 5) (15 + -5x) + 8 = 3(x + 5) Reorder the terms: 15 + 8 + -5x = 3(x + 5) Combine like terms: 15 + 8 = 23 23 + -5x = 3(x + 5) Reorder the terms: 23 + -5x = 3(5 + x) 23 + -5x = (5 * 3 + x * 3) 23 + -5x = (15 + 3x) Solving 23 + -5x = 15 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 23 + -5x + -3x = 15 + 3x + -3x Combine like terms: -5x + -3x = -8x 23 + -8x = 15 + 3x + -3x Combine like terms: 3x + -3x = 0 23 + -8x = 15 + 0 23 + -8x = 15 Add '-23' to each side of the equation. 23 + -23 + -8x = 15 + -23 Combine like terms: 23 + -23 = 0 0 + -8x = 15 + -23 -8x = 15 + -23 Combine like terms: 15 + -23 = -8 -8x = -8 Divide each side by '-8'. x = 1 Simplifying x = 1
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