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Simplifying 5(4x + -2) = x + 9 Reorder the terms: 5(-2 + 4x) = x + 9 (-2 * 5 + 4x * 5) = x + 9 (-10 + 20x) = x + 9 Reorder the terms: -10 + 20x = 9 + x Solving -10 + 20x = 9 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -10 + 20x + -1x = 9 + x + -1x Combine like terms: 20x + -1x = 19x -10 + 19x = 9 + x + -1x Combine like terms: x + -1x = 0 -10 + 19x = 9 + 0 -10 + 19x = 9 Add '10' to each side of the equation. -10 + 10 + 19x = 9 + 10 Combine like terms: -10 + 10 = 0 0 + 19x = 9 + 10 19x = 9 + 10 Combine like terms: 9 + 10 = 19 19x = 19 Divide each side by '19'. x = 1 Simplifying x = 1
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