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Simplifying 4(3x + 7) + -3(2x + -6) = 34 Reorder the terms: 4(7 + 3x) + -3(2x + -6) = 34 (7 * 4 + 3x * 4) + -3(2x + -6) = 34 (28 + 12x) + -3(2x + -6) = 34 Reorder the terms: 28 + 12x + -3(-6 + 2x) = 34 28 + 12x + (-6 * -3 + 2x * -3) = 34 28 + 12x + (18 + -6x) = 34 Reorder the terms: 28 + 18 + 12x + -6x = 34 Combine like terms: 28 + 18 = 46 46 + 12x + -6x = 34 Combine like terms: 12x + -6x = 6x 46 + 6x = 34 Solving 46 + 6x = 34 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-46' to each side of the equation. 46 + -46 + 6x = 34 + -46 Combine like terms: 46 + -46 = 0 0 + 6x = 34 + -46 6x = 34 + -46 Combine like terms: 34 + -46 = -12 6x = -12 Divide each side by '6'. x = -2 Simplifying x = -2
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