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Simplifying 18 = 3(5 + x) + 5(1 + x) 18 = (5 * 3 + x * 3) + 5(1 + x) 18 = (15 + 3x) + 5(1 + x) 18 = 15 + 3x + (1 * 5 + x * 5) 18 = 15 + 3x + (5 + 5x) Reorder the terms: 18 = 15 + 5 + 3x + 5x Combine like terms: 15 + 5 = 20 18 = 20 + 3x + 5x Combine like terms: 3x + 5x = 8x 18 = 20 + 8x Solving 18 = 20 + 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. 18 + -8x = 20 + 8x + -8x Combine like terms: 8x + -8x = 0 18 + -8x = 20 + 0 18 + -8x = 20 Add '-18' to each side of the equation. 18 + -18 + -8x = 20 + -18 Combine like terms: 18 + -18 = 0 0 + -8x = 20 + -18 -8x = 20 + -18 Combine like terms: 20 + -18 = 2 -8x = 2 Divide each side by '-8'. x = -0.25 Simplifying x = -0.25
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