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Simplifying 3(2x + -1) + -1(3 + -2x) = -4(2x + -6) Reorder the terms: 3(-1 + 2x) + -1(3 + -2x) = -4(2x + -6) (-1 * 3 + 2x * 3) + -1(3 + -2x) = -4(2x + -6) (-3 + 6x) + -1(3 + -2x) = -4(2x + -6) -3 + 6x + (3 * -1 + -2x * -1) = -4(2x + -6) -3 + 6x + (-3 + 2x) = -4(2x + -6) Reorder the terms: -3 + -3 + 6x + 2x = -4(2x + -6) Combine like terms: -3 + -3 = -6 -6 + 6x + 2x = -4(2x + -6) Combine like terms: 6x + 2x = 8x -6 + 8x = -4(2x + -6) Reorder the terms: -6 + 8x = -4(-6 + 2x) -6 + 8x = (-6 * -4 + 2x * -4) -6 + 8x = (24 + -8x) Solving -6 + 8x = 24 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -6 + 8x + 8x = 24 + -8x + 8x Combine like terms: 8x + 8x = 16x -6 + 16x = 24 + -8x + 8x Combine like terms: -8x + 8x = 0 -6 + 16x = 24 + 0 -6 + 16x = 24 Add '6' to each side of the equation. -6 + 6 + 16x = 24 + 6 Combine like terms: -6 + 6 = 0 0 + 16x = 24 + 6 16x = 24 + 6 Combine like terms: 24 + 6 = 30 16x = 30 Divide each side by '16'. x = 1.875 Simplifying x = 1.875
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