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Simplifying 2x + 8 = 12(-1x + 3) Reorder the terms: 8 + 2x = 12(-1x + 3) Reorder the terms: 8 + 2x = 12(3 + -1x) 8 + 2x = (3 * 12 + -1x * 12) 8 + 2x = (36 + -12x) Solving 8 + 2x = 36 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 8 + 2x + 12x = 36 + -12x + 12x Combine like terms: 2x + 12x = 14x 8 + 14x = 36 + -12x + 12x Combine like terms: -12x + 12x = 0 8 + 14x = 36 + 0 8 + 14x = 36 Add '-8' to each side of the equation. 8 + -8 + 14x = 36 + -8 Combine like terms: 8 + -8 = 0 0 + 14x = 36 + -8 14x = 36 + -8 Combine like terms: 36 + -8 = 28 14x = 28 Divide each side by '14'. x = 2 Simplifying x = 2
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