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Simplifying 2(3x + -1) + -3(x + 2) = 4x Reorder the terms: 2(-1 + 3x) + -3(x + 2) = 4x (-1 * 2 + 3x * 2) + -3(x + 2) = 4x (-2 + 6x) + -3(x + 2) = 4x Reorder the terms: -2 + 6x + -3(2 + x) = 4x -2 + 6x + (2 * -3 + x * -3) = 4x -2 + 6x + (-6 + -3x) = 4x Reorder the terms: -2 + -6 + 6x + -3x = 4x Combine like terms: -2 + -6 = -8 -8 + 6x + -3x = 4x Combine like terms: 6x + -3x = 3x -8 + 3x = 4x Solving -8 + 3x = 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. -8 + 3x + -4x = 4x + -4x Combine like terms: 3x + -4x = -1x -8 + -1x = 4x + -4x Combine like terms: 4x + -4x = 0 -8 + -1x = 0 Add '8' to each side of the equation. -8 + 8 + -1x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = 0 + 8 -1x = 0 + 8 Combine like terms: 0 + 8 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8
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