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Simplifying 3(x + 2) + -1x = 6x + -2(x + -1) Reorder the terms: 3(2 + x) + -1x = 6x + -2(x + -1) (2 * 3 + x * 3) + -1x = 6x + -2(x + -1) (6 + 3x) + -1x = 6x + -2(x + -1) Combine like terms: 3x + -1x = 2x 6 + 2x = 6x + -2(x + -1) Reorder the terms: 6 + 2x = 6x + -2(-1 + x) 6 + 2x = 6x + (-1 * -2 + x * -2) 6 + 2x = 6x + (2 + -2x) Reorder the terms: 6 + 2x = 2 + 6x + -2x Combine like terms: 6x + -2x = 4x 6 + 2x = 2 + 4x Solving 6 + 2x = 2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 6 + 2x + -4x = 2 + 4x + -4x Combine like terms: 2x + -4x = -2x 6 + -2x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + -2x = 2 + 0 6 + -2x = 2 Add '-6' to each side of the equation. 6 + -6 + -2x = 2 + -6 Combine like terms: 6 + -6 = 0 0 + -2x = 2 + -6 -2x = 2 + -6 Combine like terms: 2 + -6 = -4 -2x = -4 Divide each side by '-2'. x = 2 Simplifying x = 2
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