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Simplifying 10(x + -1) + 3(x + 5) = 44 Reorder the terms: 10(-1 + x) + 3(x + 5) = 44 (-1 * 10 + x * 10) + 3(x + 5) = 44 (-10 + 10x) + 3(x + 5) = 44 Reorder the terms: -10 + 10x + 3(5 + x) = 44 -10 + 10x + (5 * 3 + x * 3) = 44 -10 + 10x + (15 + 3x) = 44 Reorder the terms: -10 + 15 + 10x + 3x = 44 Combine like terms: -10 + 15 = 5 5 + 10x + 3x = 44 Combine like terms: 10x + 3x = 13x 5 + 13x = 44 Solving 5 + 13x = 44 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 13x = 44 + -5 Combine like terms: 5 + -5 = 0 0 + 13x = 44 + -5 13x = 44 + -5 Combine like terms: 44 + -5 = 39 13x = 39 Divide each side by '13'. x = 3 Simplifying x = 3
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