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Simplifying 5(1x + -4) = 2(1x + 5) Reorder the terms: 5(-4 + 1x) = 2(1x + 5) (-4 * 5 + 1x * 5) = 2(1x + 5) (-20 + 5x) = 2(1x + 5) Reorder the terms: -20 + 5x = 2(5 + 1x) -20 + 5x = (5 * 2 + 1x * 2) -20 + 5x = (10 + 2x) Solving -20 + 5x = 10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -20 + 5x + -2x = 10 + 2x + -2x Combine like terms: 5x + -2x = 3x -20 + 3x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 -20 + 3x = 10 + 0 -20 + 3x = 10 Add '20' to each side of the equation. -20 + 20 + 3x = 10 + 20 Combine like terms: -20 + 20 = 0 0 + 3x = 10 + 20 3x = 10 + 20 Combine like terms: 10 + 20 = 30 3x = 30 Divide each side by '3'. x = 10 Simplifying x = 10
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