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Simplifying 6 + -3x + 6 = 4x + -2 Reorder the terms: 6 + 6 + -3x = 4x + -2 Combine like terms: 6 + 6 = 12 12 + -3x = 4x + -2 Reorder the terms: 12 + -3x = -2 + 4x Solving 12 + -3x = -2 + 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. 12 + -3x + -4x = -2 + 4x + -4x Combine like terms: -3x + -4x = -7x 12 + -7x = -2 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + -7x = -2 + 0 12 + -7x = -2 Add '-12' to each side of the equation. 12 + -12 + -7x = -2 + -12 Combine like terms: 12 + -12 = 0 0 + -7x = -2 + -12 -7x = -2 + -12 Combine like terms: -2 + -12 = -14 -7x = -14 Divide each side by '-7'. x = 2 Simplifying x = 2
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