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Simplifying 2(3x + -6) = 5x + -22 + 22 Reorder the terms: 2(-6 + 3x) = 5x + -22 + 22 (-6 * 2 + 3x * 2) = 5x + -22 + 22 (-12 + 6x) = 5x + -22 + 22 Reorder the terms: -12 + 6x = -22 + 22 + 5x Combine like terms: -22 + 22 = 0 -12 + 6x = 0 + 5x -12 + 6x = 5x Solving -12 + 6x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -12 + 6x + -5x = 5x + -5x Combine like terms: 6x + -5x = 1x -12 + 1x = 5x + -5x Combine like terms: 5x + -5x = 0 -12 + 1x = 0 Add '12' to each side of the equation. -12 + 12 + 1x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 1x = 0 + 12 1x = 0 + 12 Combine like terms: 0 + 12 = 12 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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