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Simplifying 5(10x + -10) = (-4x + 4) Reorder the terms: 5(-10 + 10x) = (-4x + 4) (-10 * 5 + 10x * 5) = (-4x + 4) (-50 + 50x) = (-4x + 4) Reorder the terms: -50 + 50x = (4 + -4x) Remove parenthesis around (4 + -4x) -50 + 50x = 4 + -4x Solving -50 + 50x = 4 + -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. -50 + 50x + 4x = 4 + -4x + 4x Combine like terms: 50x + 4x = 54x -50 + 54x = 4 + -4x + 4x Combine like terms: -4x + 4x = 0 -50 + 54x = 4 + 0 -50 + 54x = 4 Add '50' to each side of the equation. -50 + 50 + 54x = 4 + 50 Combine like terms: -50 + 50 = 0 0 + 54x = 4 + 50 54x = 4 + 50 Combine like terms: 4 + 50 = 54 54x = 54 Divide each side by '54'. x = 1 Simplifying x = 1
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