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Simplifying 3(2x + -2) + -1(3 + -2x) = 4x + -6 Reorder the terms: 3(-2 + 2x) + -1(3 + -2x) = 4x + -6 (-2 * 3 + 2x * 3) + -1(3 + -2x) = 4x + -6 (-6 + 6x) + -1(3 + -2x) = 4x + -6 -6 + 6x + (3 * -1 + -2x * -1) = 4x + -6 -6 + 6x + (-3 + 2x) = 4x + -6 Reorder the terms: -6 + -3 + 6x + 2x = 4x + -6 Combine like terms: -6 + -3 = -9 -9 + 6x + 2x = 4x + -6 Combine like terms: 6x + 2x = 8x -9 + 8x = 4x + -6 Reorder the terms: -9 + 8x = -6 + 4x Solving -9 + 8x = -6 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -9 + 8x + -4x = -6 + 4x + -4x Combine like terms: 8x + -4x = 4x -9 + 4x = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 -9 + 4x = -6 + 0 -9 + 4x = -6 Add '9' to each side of the equation. -9 + 9 + 4x = -6 + 9 Combine like terms: -9 + 9 = 0 0 + 4x = -6 + 9 4x = -6 + 9 Combine like terms: -6 + 9 = 3 4x = 3 Divide each side by '4'. x = 0.75 Simplifying x = 0.75
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