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Simplifying 2(3x + 1) = 3(x + 6) + -1x Reorder the terms: 2(1 + 3x) = 3(x + 6) + -1x (1 * 2 + 3x * 2) = 3(x + 6) + -1x (2 + 6x) = 3(x + 6) + -1x Reorder the terms: 2 + 6x = 3(6 + x) + -1x 2 + 6x = (6 * 3 + x * 3) + -1x 2 + 6x = (18 + 3x) + -1x Combine like terms: 3x + -1x = 2x 2 + 6x = 18 + 2x Solving 2 + 6x = 18 + 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 = 18 + 2x + -2x Combine like terms: 6x + -2x = 4x 2 + 4x = 18 + 2x + -2x Combine like terms: 2x + -2x = 0 2 + 4x = 18 + 0 2 + 4x = 18 Add '-2' to each side of the equation. 2 + -2 + 4x = 18 + -2 Combine like terms: 2 + -2 = 0 0 + 4x = 18 + -2 4x = 18 + -2 Combine like terms: 18 + -2 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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