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Simplifying x + -3(4x + 2) + -1(3x + -2) = 2x + 12 Reorder the terms: x + -3(2 + 4x) + -1(3x + -2) = 2x + 12 x + (2 * -3 + 4x * -3) + -1(3x + -2) = 2x + 12 x + (-6 + -12x) + -1(3x + -2) = 2x + 12 Reorder the terms: x + -6 + -12x + -1(-2 + 3x) = 2x + 12 x + -6 + -12x + (-2 * -1 + 3x * -1) = 2x + 12 x + -6 + -12x + (2 + -3x) = 2x + 12 Reorder the terms: -6 + 2 + x + -12x + -3x = 2x + 12 Combine like terms: -6 + 2 = -4 -4 + x + -12x + -3x = 2x + 12 Combine like terms: x + -12x = -11x -4 + -11x + -3x = 2x + 12 Combine like terms: -11x + -3x = -14x -4 + -14x = 2x + 12 Reorder the terms: -4 + -14x = 12 + 2x Solving -4 + -14x = 12 + 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. -4 + -14x + -2x = 12 + 2x + -2x Combine like terms: -14x + -2x = -16x -4 + -16x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 -4 + -16x = 12 + 0 -4 + -16x = 12 Add '4' to each side of the equation. -4 + 4 + -16x = 12 + 4 Combine like terms: -4 + 4 = 0 0 + -16x = 12 + 4 -16x = 12 + 4 Combine like terms: 12 + 4 = 16 -16x = 16 Divide each side by '-16'. x = -1 Simplifying x = -1
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