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Simplifying 3(x + -2) + -1x = 2(3x + -4) + -6 Reorder the terms: 3(-2 + x) + -1x = 2(3x + -4) + -6 (-2 * 3 + x * 3) + -1x = 2(3x + -4) + -6 (-6 + 3x) + -1x = 2(3x + -4) + -6 Combine like terms: 3x + -1x = 2x -6 + 2x = 2(3x + -4) + -6 Reorder the terms: -6 + 2x = 2(-4 + 3x) + -6 -6 + 2x = (-4 * 2 + 3x * 2) + -6 -6 + 2x = (-8 + 6x) + -6 Reorder the terms: -6 + 2x = -8 + -6 + 6x Combine like terms: -8 + -6 = -14 -6 + 2x = -14 + 6x Solving -6 + 2x = -14 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -6 + 2x + -6x = -14 + 6x + -6x Combine like terms: 2x + -6x = -4x -6 + -4x = -14 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + -4x = -14 + 0 -6 + -4x = -14 Add '6' to each side of the equation. -6 + 6 + -4x = -14 + 6 Combine like terms: -6 + 6 = 0 0 + -4x = -14 + 6 -4x = -14 + 6 Combine like terms: -14 + 6 = -8 -4x = -8 Divide each side by '-4'. x = 2 Simplifying x = 2
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