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Simplifying 14(x + 3) + -1(x + -4) = 85 Reorder the terms: 14(3 + x) + -1(x + -4) = 85 (3 * 14 + x * 14) + -1(x + -4) = 85 (42 + 14x) + -1(x + -4) = 85 Reorder the terms: 42 + 14x + -1(-4 + x) = 85 42 + 14x + (-4 * -1 + x * -1) = 85 42 + 14x + (4 + -1x) = 85 Reorder the terms: 42 + 4 + 14x + -1x = 85 Combine like terms: 42 + 4 = 46 46 + 14x + -1x = 85 Combine like terms: 14x + -1x = 13x 46 + 13x = 85 Solving 46 + 13x = 85 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 + 13x = 85 + -46 Combine like terms: 46 + -46 = 0 0 + 13x = 85 + -46 13x = 85 + -46 Combine like terms: 85 + -46 = 39 13x = 39 Divide each side by '13'. x = 3 Simplifying x = 3
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