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Simplifying 1 + 2x = -3x + 3(1 + 2x) 1 + 2x = -3x + (1 * 3 + 2x * 3) 1 + 2x = -3x + (3 + 6x) Reorder the terms: 1 + 2x = 3 + -3x + 6x Combine like terms: -3x + 6x = 3x 1 + 2x = 3 + 3x Solving 1 + 2x = 3 + 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. 1 + 2x + -3x = 3 + 3x + -3x Combine like terms: 2x + -3x = -1x 1 + -1x = 3 + 3x + -3x Combine like terms: 3x + -3x = 0 1 + -1x = 3 + 0 1 + -1x = 3 Add '-1' to each side of the equation. 1 + -1 + -1x = 3 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 3 + -1 -1x = 3 + -1 Combine like terms: 3 + -1 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2
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