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Simplifying 3(2x + -4) + -1(3x + 6) + -1(2x + -1) = -1(3x + -3) Reorder the terms: 3(-4 + 2x) + -1(3x + 6) + -1(2x + -1) = -1(3x + -3) (-4 * 3 + 2x * 3) + -1(3x + 6) + -1(2x + -1) = -1(3x + -3) (-12 + 6x) + -1(3x + 6) + -1(2x + -1) = -1(3x + -3) Reorder the terms: -12 + 6x + -1(6 + 3x) + -1(2x + -1) = -1(3x + -3) -12 + 6x + (6 * -1 + 3x * -1) + -1(2x + -1) = -1(3x + -3) -12 + 6x + (-6 + -3x) + -1(2x + -1) = -1(3x + -3) Reorder the terms: -12 + 6x + -6 + -3x + -1(-1 + 2x) = -1(3x + -3) -12 + 6x + -6 + -3x + (-1 * -1 + 2x * -1) = -1(3x + -3) -12 + 6x + -6 + -3x + (1 + -2x) = -1(3x + -3) Reorder the terms: -12 + -6 + 1 + 6x + -3x + -2x = -1(3x + -3) Combine like terms: -12 + -6 = -18 -18 + 1 + 6x + -3x + -2x = -1(3x + -3) Combine like terms: -18 + 1 = -17 -17 + 6x + -3x + -2x = -1(3x + -3) Combine like terms: 6x + -3x = 3x -17 + 3x + -2x = -1(3x + -3) Combine like terms: 3x + -2x = 1x -17 + 1x = -1(3x + -3) Reorder the terms: -17 + 1x = -1(-3 + 3x) -17 + 1x = (-3 * -1 + 3x * -1) -17 + 1x = (3 + -3x) Solving -17 + 1x = 3 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -17 + 1x + 3x = 3 + -3x + 3x Combine like terms: 1x + 3x = 4x -17 + 4x = 3 + -3x + 3x Combine like terms: -3x + 3x = 0 -17 + 4x = 3 + 0 -17 + 4x = 3 Add '17' to each side of the equation. -17 + 17 + 4x = 3 + 17 Combine like terms: -17 + 17 = 0 0 + 4x = 3 + 17 4x = 3 + 17 Combine like terms: 3 + 17 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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