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Simplifying 154 = 2(x + x + 1) + 3(x + 2 + x + 3) Reorder the terms: 154 = 2(1 + x + x) + 3(x + 2 + x + 3) Combine like terms: x + x = 2x 154 = 2(1 + 2x) + 3(x + 2 + x + 3) 154 = (1 * 2 + 2x * 2) + 3(x + 2 + x + 3) 154 = (2 + 4x) + 3(x + 2 + x + 3) Reorder the terms: 154 = 2 + 4x + 3(2 + 3 + x + x) Combine like terms: 2 + 3 = 5 154 = 2 + 4x + 3(5 + x + x) Combine like terms: x + x = 2x 154 = 2 + 4x + 3(5 + 2x) 154 = 2 + 4x + (5 * 3 + 2x * 3) 154 = 2 + 4x + (15 + 6x) Reorder the terms: 154 = 2 + 15 + 4x + 6x Combine like terms: 2 + 15 = 17 154 = 17 + 4x + 6x Combine like terms: 4x + 6x = 10x 154 = 17 + 10x Solving 154 = 17 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 154 + -10x = 17 + 10x + -10x Combine like terms: 10x + -10x = 0 154 + -10x = 17 + 0 154 + -10x = 17 Add '-154' to each side of the equation. 154 + -154 + -10x = 17 + -154 Combine like terms: 154 + -154 = 0 0 + -10x = 17 + -154 -10x = 17 + -154 Combine like terms: 17 + -154 = -137 -10x = -137 Divide each side by '-10'. x = 13.7 Simplifying x = 13.7
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