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Simplifying 2(3x + -1) + 6x = 37 + -1x Reorder the terms: 2(-1 + 3x) + 6x = 37 + -1x (-1 * 2 + 3x * 2) + 6x = 37 + -1x (-2 + 6x) + 6x = 37 + -1x Combine like terms: 6x + 6x = 12x -2 + 12x = 37 + -1x Solving -2 + 12x = 37 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -2 + 12x + x = 37 + -1x + x Combine like terms: 12x + x = 13x -2 + 13x = 37 + -1x + x Combine like terms: -1x + x = 0 -2 + 13x = 37 + 0 -2 + 13x = 37 Add '2' to each side of the equation. -2 + 2 + 13x = 37 + 2 Combine like terms: -2 + 2 = 0 0 + 13x = 37 + 2 13x = 37 + 2 Combine like terms: 37 + 2 = 39 13x = 39 Divide each side by '13'. x = 3 Simplifying x = 3
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