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Simplifying 3x + 2 + -1(x + -2) = 4x + -6 Reorder the terms: 3x + 2 + -1(-2 + x) = 4x + -6 3x + 2 + (-2 * -1 + x * -1) = 4x + -6 3x + 2 + (2 + -1x) = 4x + -6 Reorder the terms: 2 + 2 + 3x + -1x = 4x + -6 Combine like terms: 2 + 2 = 4 4 + 3x + -1x = 4x + -6 Combine like terms: 3x + -1x = 2x 4 + 2x = 4x + -6 Reorder the terms: 4 + 2x = -6 + 4x Solving 4 + 2x = -6 + 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. 4 + 2x + -4x = -6 + 4x + -4x Combine like terms: 2x + -4x = -2x 4 + -2x = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 4 + -2x = -6 + 0 4 + -2x = -6 Add '-4' to each side of the equation. 4 + -4 + -2x = -6 + -4 Combine like terms: 4 + -4 = 0 0 + -2x = -6 + -4 -2x = -6 + -4 Combine like terms: -6 + -4 = -10 -2x = -10 Divide each side by '-2'. x = 5 Simplifying x = 5
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