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Simplifying -2 + 3(1 + 2x) = -2x + 3 -2 + (1 * 3 + 2x * 3) = -2x + 3 -2 + (3 + 6x) = -2x + 3 Combine like terms: -2 + 3 = 1 1 + 6x = -2x + 3 Reorder the terms: 1 + 6x = 3 + -2x Solving 1 + 6x = 3 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 1 + 6x + 2x = 3 + -2x + 2x Combine like terms: 6x + 2x = 8x 1 + 8x = 3 + -2x + 2x Combine like terms: -2x + 2x = 0 1 + 8x = 3 + 0 1 + 8x = 3 Add '-1' to each side of the equation. 1 + -1 + 8x = 3 + -1 Combine like terms: 1 + -1 = 0 0 + 8x = 3 + -1 8x = 3 + -1 Combine like terms: 3 + -1 = 2 8x = 2 Divide each side by '8'. x = 0.25 Simplifying x = 0.25
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