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Simplifying 3(x + -2) = 4(-1x + 3) Reorder the terms: 3(-2 + x) = 4(-1x + 3) (-2 * 3 + x * 3) = 4(-1x + 3) (-6 + 3x) = 4(-1x + 3) Reorder the terms: -6 + 3x = 4(3 + -1x) -6 + 3x = (3 * 4 + -1x * 4) -6 + 3x = (12 + -4x) Solving -6 + 3x = 12 + -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. -6 + 3x + 4x = 12 + -4x + 4x Combine like terms: 3x + 4x = 7x -6 + 7x = 12 + -4x + 4x Combine like terms: -4x + 4x = 0 -6 + 7x = 12 + 0 -6 + 7x = 12 Add '6' to each side of the equation. -6 + 6 + 7x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 7x = 12 + 6 7x = 12 + 6 Combine like terms: 12 + 6 = 18 7x = 18 Divide each side by '7'. x = 2.571428571 Simplifying x = 2.571428571
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