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Simplifying 6x + 20 + -3(2x + 6) = 5x + 12 Reorder the terms: 6x + 20 + -3(6 + 2x) = 5x + 12 6x + 20 + (6 * -3 + 2x * -3) = 5x + 12 6x + 20 + (-18 + -6x) = 5x + 12 Reorder the terms: 20 + -18 + 6x + -6x = 5x + 12 Combine like terms: 20 + -18 = 2 2 + 6x + -6x = 5x + 12 Combine like terms: 6x + -6x = 0 2 + 0 = 5x + 12 2 = 5x + 12 Reorder the terms: 2 = 12 + 5x Solving 2 = 12 + 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. 2 + -5x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 2 + -5x = 12 + 0 2 + -5x = 12 Add '-2' to each side of the equation. 2 + -2 + -5x = 12 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = 12 + -2 -5x = 12 + -2 Combine like terms: 12 + -2 = 10 -5x = 10 Divide each side by '-5'. x = -2 Simplifying x = -2
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