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Simplifying -3(x + 4) + 2x = (x + -6) + -3x Reorder the terms: -3(4 + x) + 2x = (x + -6) + -3x (4 * -3 + x * -3) + 2x = (x + -6) + -3x (-12 + -3x) + 2x = (x + -6) + -3x Combine like terms: -3x + 2x = -1x -12 + -1x = (x + -6) + -3x Reorder the terms: -12 + -1x = (-6 + x) + -3x Remove parenthesis around (-6 + x) -12 + -1x = -6 + x + -3x Combine like terms: x + -3x = -2x -12 + -1x = -6 + -2x Solving -12 + -1x = -6 + -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. -12 + -1x + 2x = -6 + -2x + 2x Combine like terms: -1x + 2x = 1x -12 + 1x = -6 + -2x + 2x Combine like terms: -2x + 2x = 0 -12 + 1x = -6 + 0 -12 + 1x = -6 Add '12' to each side of the equation. -12 + 12 + 1x = -6 + 12 Combine like terms: -12 + 12 = 0 0 + 1x = -6 + 12 1x = -6 + 12 Combine like terms: -6 + 12 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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