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Simplifying x + 1 + 2(x + 2) + 3(x + 3) = 5(x + 4) Reorder the terms: x + 1 + 2(2 + x) + 3(x + 3) = 5(x + 4) x + 1 + (2 * 2 + x * 2) + 3(x + 3) = 5(x + 4) x + 1 + (4 + 2x) + 3(x + 3) = 5(x + 4) Reorder the terms: x + 1 + 4 + 2x + 3(3 + x) = 5(x + 4) x + 1 + 4 + 2x + (3 * 3 + x * 3) = 5(x + 4) x + 1 + 4 + 2x + (9 + 3x) = 5(x + 4) Reorder the terms: 1 + 4 + 9 + x + 2x + 3x = 5(x + 4) Combine like terms: 1 + 4 = 5 5 + 9 + x + 2x + 3x = 5(x + 4) Combine like terms: 5 + 9 = 14 14 + x + 2x + 3x = 5(x + 4) Combine like terms: x + 2x = 3x 14 + 3x + 3x = 5(x + 4) Combine like terms: 3x + 3x = 6x 14 + 6x = 5(x + 4) Reorder the terms: 14 + 6x = 5(4 + x) 14 + 6x = (4 * 5 + x * 5) 14 + 6x = (20 + 5x) Solving 14 + 6x = 20 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 14 + 6x + -5x = 20 + 5x + -5x Combine like terms: 6x + -5x = 1x 14 + 1x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 14 + 1x = 20 + 0 14 + 1x = 20 Add '-14' to each side of the equation. 14 + -14 + 1x = 20 + -14 Combine like terms: 14 + -14 = 0 0 + 1x = 20 + -14 1x = 20 + -14 Combine like terms: 20 + -14 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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