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Simplifying 4x + 2 = 3x + -6 Reorder the terms: 2 + 4x = 3x + -6 Reorder the terms: 2 + 4x = -6 + 3x Solving 2 + 4x = -6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 2 + 4x + -3x = -6 + 3x + -3x Combine like terms: 4x + -3x = 1x 2 + 1x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 2 + 1x = -6 + 0 2 + 1x = -6 Add '-2' to each side of the equation. 2 + -2 + 1x = -6 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = -6 + -2 1x = -6 + -2 Combine like terms: -6 + -2 = -8 1x = -8 Divide each side by '1'. x = -8 Simplifying x = -8
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