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Simplifying 5(2x + -1) + 3(x + -4) = 9 Reorder the terms: 5(-1 + 2x) + 3(x + -4) = 9 (-1 * 5 + 2x * 5) + 3(x + -4) = 9 (-5 + 10x) + 3(x + -4) = 9 Reorder the terms: -5 + 10x + 3(-4 + x) = 9 -5 + 10x + (-4 * 3 + x * 3) = 9 -5 + 10x + (-12 + 3x) = 9 Reorder the terms: -5 + -12 + 10x + 3x = 9 Combine like terms: -5 + -12 = -17 -17 + 10x + 3x = 9 Combine like terms: 10x + 3x = 13x -17 + 13x = 9 Solving -17 + 13x = 9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 13x = 9 + 17 Combine like terms: -17 + 17 = 0 0 + 13x = 9 + 17 13x = 9 + 17 Combine like terms: 9 + 17 = 26 13x = 26 Divide each side by '13'. x = 2 Simplifying x = 2
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