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