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Simplifying 5(x + -4) + -2(x + -3) = 13 Reorder the terms: 5(-4 + x) + -2(x + -3) = 13 (-4 * 5 + x * 5) + -2(x + -3) = 13 (-20 + 5x) + -2(x + -3) = 13 Reorder the terms: -20 + 5x + -2(-3 + x) = 13 -20 + 5x + (-3 * -2 + x * -2) = 13 -20 + 5x + (6 + -2x) = 13 Reorder the terms: -20 + 6 + 5x + -2x = 13 Combine like terms: -20 + 6 = -14 -14 + 5x + -2x = 13 Combine like terms: 5x + -2x = 3x -14 + 3x = 13 Solving -14 + 3x = 13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 3x = 13 + 14 Combine like terms: -14 + 14 = 0 0 + 3x = 13 + 14 3x = 13 + 14 Combine like terms: 13 + 14 = 27 3x = 27 Divide each side by '3'. x = 9 Simplifying x = 9
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