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Simplifying 5(2x + -4) = 75 + -9x Reorder the terms: 5(-4 + 2x) = 75 + -9x (-4 * 5 + 2x * 5) = 75 + -9x (-20 + 10x) = 75 + -9x Solving -20 + 10x = 75 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -20 + 10x + 9x = 75 + -9x + 9x Combine like terms: 10x + 9x = 19x -20 + 19x = 75 + -9x + 9x Combine like terms: -9x + 9x = 0 -20 + 19x = 75 + 0 -20 + 19x = 75 Add '20' to each side of the equation. -20 + 20 + 19x = 75 + 20 Combine like terms: -20 + 20 = 0 0 + 19x = 75 + 20 19x = 75 + 20 Combine like terms: 75 + 20 = 95 19x = 95 Divide each side by '19'. x = 5 Simplifying x = 5
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