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Simplifying 2(3x + 1) + -1x + 6 = 2(x + 2) Reorder the terms: 2(1 + 3x) + -1x + 6 = 2(x + 2) (1 * 2 + 3x * 2) + -1x + 6 = 2(x + 2) (2 + 6x) + -1x + 6 = 2(x + 2) Reorder the terms: 2 + 6 + 6x + -1x = 2(x + 2) Combine like terms: 2 + 6 = 8 8 + 6x + -1x = 2(x + 2) Combine like terms: 6x + -1x = 5x 8 + 5x = 2(x + 2) Reorder the terms: 8 + 5x = 2(2 + x) 8 + 5x = (2 * 2 + x * 2) 8 + 5x = (4 + 2x) Solving 8 + 5x = 4 + 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. 8 + 5x + -2x = 4 + 2x + -2x Combine like terms: 5x + -2x = 3x 8 + 3x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + 3x = 4 + 0 8 + 3x = 4 Add '-8' to each side of the equation. 8 + -8 + 3x = 4 + -8 Combine like terms: 8 + -8 = 0 0 + 3x = 4 + -8 3x = 4 + -8 Combine like terms: 4 + -8 = -4 3x = -4 Divide each side by '3'. x = -1.333333333 Simplifying x = -1.333333333
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