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Simplifying -5(2x + 4) = 4(7x + -5) Reorder the terms: -5(4 + 2x) = 4(7x + -5) (4 * -5 + 2x * -5) = 4(7x + -5) (-20 + -10x) = 4(7x + -5) Reorder the terms: -20 + -10x = 4(-5 + 7x) -20 + -10x = (-5 * 4 + 7x * 4) -20 + -10x = (-20 + 28x) Add '20' to each side of the equation. -20 + 20 + -10x = -20 + 20 + 28x Combine like terms: -20 + 20 = 0 0 + -10x = -20 + 20 + 28x -10x = -20 + 20 + 28x Combine like terms: -20 + 20 = 0 -10x = 0 + 28x -10x = 28x Solving -10x = 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. -10x + -28x = 28x + -28x Combine like terms: -10x + -28x = -38x -38x = 28x + -28x Combine like terms: 28x + -28x = 0 -38x = 0 Divide each side by '-38'. x = 0 Simplifying x = 0
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