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Simplifying 2(1 + 3x) = 1 + -2x + 5 (1 * 2 + 3x * 2) = 1 + -2x + 5 (2 + 6x) = 1 + -2x + 5 Reorder the terms: 2 + 6x = 1 + 5 + -2x Combine like terms: 1 + 5 = 6 2 + 6x = 6 + -2x Solving 2 + 6x = 6 + -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. 2 + 6x + 2x = 6 + -2x + 2x Combine like terms: 6x + 2x = 8x 2 + 8x = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 2 + 8x = 6 + 0 2 + 8x = 6 Add '-2' to each side of the equation. 2 + -2 + 8x = 6 + -2 Combine like terms: 2 + -2 = 0 0 + 8x = 6 + -2 8x = 6 + -2 Combine like terms: 6 + -2 = 4 8x = 4 Divide each side by '8'. x = 0.5 Simplifying x = 0.5
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