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Simplifying 3x + 6 + -5x = 4 + 2x + -6 Reorder the terms: 6 + 3x + -5x = 4 + 2x + -6 Combine like terms: 3x + -5x = -2x 6 + -2x = 4 + 2x + -6 Reorder the terms: 6 + -2x = 4 + -6 + 2x Combine like terms: 4 + -6 = -2 6 + -2x = -2 + 2x Solving 6 + -2x = -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. 6 + -2x + -2x = -2 + 2x + -2x Combine like terms: -2x + -2x = -4x 6 + -4x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + -4x = -2 + 0 6 + -4x = -2 Add '-6' to each side of the equation. 6 + -6 + -4x = -2 + -6 Combine like terms: 6 + -6 = 0 0 + -4x = -2 + -6 -4x = -2 + -6 Combine like terms: -2 + -6 = -8 -4x = -8 Divide each side by '-4'. x = 2 Simplifying x = 2
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