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Simplifying 3x + -2(x + -6) = 4x + 6 Reorder the terms: 3x + -2(-6 + x) = 4x + 6 3x + (-6 * -2 + x * -2) = 4x + 6 3x + (12 + -2x) = 4x + 6 Reorder the terms: 12 + 3x + -2x = 4x + 6 Combine like terms: 3x + -2x = 1x 12 + 1x = 4x + 6 Reorder the terms: 12 + 1x = 6 + 4x Solving 12 + 1x = 6 + 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 + 1x + -4x = 6 + 4x + -4x Combine like terms: 1x + -4x = -3x 12 + -3x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + -3x = 6 + 0 12 + -3x = 6 Add '-12' to each side of the equation. 12 + -12 + -3x = 6 + -12 Combine like terms: 12 + -12 = 0 0 + -3x = 6 + -12 -3x = 6 + -12 Combine like terms: 6 + -12 = -6 -3x = -6 Divide each side by '-3'. x = 2 Simplifying x = 2
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