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Simplifying 5(x + 3) = 8(10 + -1x) Reorder the terms: 5(3 + x) = 8(10 + -1x) (3 * 5 + x * 5) = 8(10 + -1x) (15 + 5x) = 8(10 + -1x) 15 + 5x = (10 * 8 + -1x * 8) 15 + 5x = (80 + -8x) Solving 15 + 5x = 80 + -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 + 5x + 8x = 80 + -8x + 8x Combine like terms: 5x + 8x = 13x 15 + 13x = 80 + -8x + 8x Combine like terms: -8x + 8x = 0 15 + 13x = 80 + 0 15 + 13x = 80 Add '-15' to each side of the equation. 15 + -15 + 13x = 80 + -15 Combine like terms: 15 + -15 = 0 0 + 13x = 80 + -15 13x = 80 + -15 Combine like terms: 80 + -15 = 65 13x = 65 Divide each side by '13'. x = 5 Simplifying x = 5
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