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