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Simplifying 2(x + 1) + 3(x + 2) + 4x + 5 = 40 Reorder the terms: 2(1 + x) + 3(x + 2) + 4x + 5 = 40 (1 * 2 + x * 2) + 3(x + 2) + 4x + 5 = 40 (2 + 2x) + 3(x + 2) + 4x + 5 = 40 Reorder the terms: 2 + 2x + 3(2 + x) + 4x + 5 = 40 2 + 2x + (2 * 3 + x * 3) + 4x + 5 = 40 2 + 2x + (6 + 3x) + 4x + 5 = 40 Reorder the terms: 2 + 6 + 5 + 2x + 3x + 4x = 40 Combine like terms: 2 + 6 = 8 8 + 5 + 2x + 3x + 4x = 40 Combine like terms: 8 + 5 = 13 13 + 2x + 3x + 4x = 40 Combine like terms: 2x + 3x = 5x 13 + 5x + 4x = 40 Combine like terms: 5x + 4x = 9x 13 + 9x = 40 Solving 13 + 9x = 40 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 9x = 40 + -13 Combine like terms: 13 + -13 = 0 0 + 9x = 40 + -13 9x = 40 + -13 Combine like terms: 40 + -13 = 27 9x = 27 Divide each side by '9'. x = 3 Simplifying x = 3
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