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