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Simplifying 5(x + -4) + -2(x + 5) = 15 Reorder the terms: 5(-4 + x) + -2(x + 5) = 15 (-4 * 5 + x * 5) + -2(x + 5) = 15 (-20 + 5x) + -2(x + 5) = 15 Reorder the terms: -20 + 5x + -2(5 + x) = 15 -20 + 5x + (5 * -2 + x * -2) = 15 -20 + 5x + (-10 + -2x) = 15 Reorder the terms: -20 + -10 + 5x + -2x = 15 Combine like terms: -20 + -10 = -30 -30 + 5x + -2x = 15 Combine like terms: 5x + -2x = 3x -30 + 3x = 15 Solving -30 + 3x = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 3x = 15 + 30 Combine like terms: -30 + 30 = 0 0 + 3x = 15 + 30 3x = 15 + 30 Combine like terms: 15 + 30 = 45 3x = 45 Divide each side by '3'. x = 15 Simplifying x = 15
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