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Simplifying -12 + 6x = 6 + 5(x + 2) Reorder the terms: -12 + 6x = 6 + 5(2 + x) -12 + 6x = 6 + (2 * 5 + x * 5) -12 + 6x = 6 + (10 + 5x) Combine like terms: 6 + 10 = 16 -12 + 6x = 16 + 5x Solving -12 + 6x = 16 + 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 = 16 + 5x + -5x Combine like terms: 6x + -5x = 1x -12 + 1x = 16 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + 1x = 16 + 0 -12 + 1x = 16 Add '12' to each side of the equation. -12 + 12 + 1x = 16 + 12 Combine like terms: -12 + 12 = 0 0 + 1x = 16 + 12 1x = 16 + 12 Combine like terms: 16 + 12 = 28 1x = 28 Divide each side by '1'. x = 28 Simplifying x = 28
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