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Simplifying 5(x + 3) = 10(x + 1) + 4(x + 4) Reorder the terms: 5(3 + x) = 10(x + 1) + 4(x + 4) (3 * 5 + x * 5) = 10(x + 1) + 4(x + 4) (15 + 5x) = 10(x + 1) + 4(x + 4) Reorder the terms: 15 + 5x = 10(1 + x) + 4(x + 4) 15 + 5x = (1 * 10 + x * 10) + 4(x + 4) 15 + 5x = (10 + 10x) + 4(x + 4) Reorder the terms: 15 + 5x = 10 + 10x + 4(4 + x) 15 + 5x = 10 + 10x + (4 * 4 + x * 4) 15 + 5x = 10 + 10x + (16 + 4x) Reorder the terms: 15 + 5x = 10 + 16 + 10x + 4x Combine like terms: 10 + 16 = 26 15 + 5x = 26 + 10x + 4x Combine like terms: 10x + 4x = 14x 15 + 5x = 26 + 14x Solving 15 + 5x = 26 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 15 + 5x + -14x = 26 + 14x + -14x Combine like terms: 5x + -14x = -9x 15 + -9x = 26 + 14x + -14x Combine like terms: 14x + -14x = 0 15 + -9x = 26 + 0 15 + -9x = 26 Add '-15' to each side of the equation. 15 + -15 + -9x = 26 + -15 Combine like terms: 15 + -15 = 0 0 + -9x = 26 + -15 -9x = 26 + -15 Combine like terms: 26 + -15 = 11 -9x = 11 Divide each side by '-9'. x = -1.222222222 Simplifying x = -1.222222222
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