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Simplifying 5(x + -4) = 4(x + 6) Reorder the terms: 5(-4 + x) = 4(x + 6) (-4 * 5 + x * 5) = 4(x + 6) (-20 + 5x) = 4(x + 6) Reorder the terms: -20 + 5x = 4(6 + x) -20 + 5x = (6 * 4 + x * 4) -20 + 5x = (24 + 4x) Solving -20 + 5x = 24 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -20 + 5x + -4x = 24 + 4x + -4x Combine like terms: 5x + -4x = 1x -20 + 1x = 24 + 4x + -4x Combine like terms: 4x + -4x = 0 -20 + 1x = 24 + 0 -20 + 1x = 24 Add '20' to each side of the equation. -20 + 20 + 1x = 24 + 20 Combine like terms: -20 + 20 = 0 0 + 1x = 24 + 20 1x = 24 + 20 Combine like terms: 24 + 20 = 44 1x = 44 Divide each side by '1'. x = 44 Simplifying x = 44
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