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Simplifying 3x + -2(x + -6) = 2 + 2x Reorder the terms: 3x + -2(-6 + x) = 2 + 2x 3x + (-6 * -2 + x * -2) = 2 + 2x 3x + (12 + -2x) = 2 + 2x Reorder the terms: 12 + 3x + -2x = 2 + 2x Combine like terms: 3x + -2x = 1x 12 + 1x = 2 + 2x Solving 12 + 1x = 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. 12 + 1x + -2x = 2 + 2x + -2x Combine like terms: 1x + -2x = -1x 12 + -1x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + -1x = 2 + 0 12 + -1x = 2 Add '-12' to each side of the equation. 12 + -12 + -1x = 2 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 2 + -12 -1x = 2 + -12 Combine like terms: 2 + -12 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10
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