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