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Simplifying 1 + 2(1 + x) + 3(1 + x) = 1 + x 1 + (1 * 2 + x * 2) + 3(1 + x) = 1 + x 1 + (2 + 2x) + 3(1 + x) = 1 + x 1 + 2 + 2x + (1 * 3 + x * 3) = 1 + x 1 + 2 + 2x + (3 + 3x) = 1 + x Reorder the terms: 1 + 2 + 3 + 2x + 3x = 1 + x Combine like terms: 1 + 2 = 3 3 + 3 + 2x + 3x = 1 + x Combine like terms: 3 + 3 = 6 6 + 2x + 3x = 1 + x Combine like terms: 2x + 3x = 5x 6 + 5x = 1 + x Solving 6 + 5x = 1 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 6 + 5x + -1x = 1 + x + -1x Combine like terms: 5x + -1x = 4x 6 + 4x = 1 + x + -1x Combine like terms: x + -1x = 0 6 + 4x = 1 + 0 6 + 4x = 1 Add '-6' to each side of the equation. 6 + -6 + 4x = 1 + -6 Combine like terms: 6 + -6 = 0 0 + 4x = 1 + -6 4x = 1 + -6 Combine like terms: 1 + -6 = -5 4x = -5 Divide each side by '4'. x = -1.25 Simplifying x = -1.25
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