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Simplifying 3(x + 1) + 5(x + 2) = 1 Reorder the terms: 3(1 + x) + 5(x + 2) = 1 (1 * 3 + x * 3) + 5(x + 2) = 1 (3 + 3x) + 5(x + 2) = 1 Reorder the terms: 3 + 3x + 5(2 + x) = 1 3 + 3x + (2 * 5 + x * 5) = 1 3 + 3x + (10 + 5x) = 1 Reorder the terms: 3 + 10 + 3x + 5x = 1 Combine like terms: 3 + 10 = 13 13 + 3x + 5x = 1 Combine like terms: 3x + 5x = 8x 13 + 8x = 1 Solving 13 + 8x = 1 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 + 8x = 1 + -13 Combine like terms: 13 + -13 = 0 0 + 8x = 1 + -13 8x = 1 + -13 Combine like terms: 1 + -13 = -12 8x = -12 Divide each side by '8'. x = -1.5 Simplifying x = -1.5
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