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