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Simplifying x + 2(3x + -6) = x + 12 Reorder the terms: x + 2(-6 + 3x) = x + 12 x + (-6 * 2 + 3x * 2) = x + 12 x + (-12 + 6x) = x + 12 Reorder the terms: -12 + x + 6x = x + 12 Combine like terms: x + 6x = 7x -12 + 7x = x + 12 Reorder the terms: -12 + 7x = 12 + x Solving -12 + 7x = 12 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -12 + 7x + -1x = 12 + x + -1x Combine like terms: 7x + -1x = 6x -12 + 6x = 12 + x + -1x Combine like terms: x + -1x = 0 -12 + 6x = 12 + 0 -12 + 6x = 12 Add '12' to each side of the equation. -12 + 12 + 6x = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 6x = 12 + 12 6x = 12 + 12 Combine like terms: 12 + 12 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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