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Simplifying 7x + 3(-4x + 12) = 86 Reorder the terms: 7x + 3(12 + -4x) = 86 7x + (12 * 3 + -4x * 3) = 86 7x + (36 + -12x) = 86 Reorder the terms: 36 + 7x + -12x = 86 Combine like terms: 7x + -12x = -5x 36 + -5x = 86 Solving 36 + -5x = 86 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -5x = 86 + -36 Combine like terms: 36 + -36 = 0 0 + -5x = 86 + -36 -5x = 86 + -36 Combine like terms: 86 + -36 = 50 -5x = 50 Divide each side by '-5'. x = -10 Simplifying x = -10
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