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Simplifying 4(5x + -1) = 9(2x + -2) Reorder the terms: 4(-1 + 5x) = 9(2x + -2) (-1 * 4 + 5x * 4) = 9(2x + -2) (-4 + 20x) = 9(2x + -2) Reorder the terms: -4 + 20x = 9(-2 + 2x) -4 + 20x = (-2 * 9 + 2x * 9) -4 + 20x = (-18 + 18x) Solving -4 + 20x = -18 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -4 + 20x + -18x = -18 + 18x + -18x Combine like terms: 20x + -18x = 2x -4 + 2x = -18 + 18x + -18x Combine like terms: 18x + -18x = 0 -4 + 2x = -18 + 0 -4 + 2x = -18 Add '4' to each side of the equation. -4 + 4 + 2x = -18 + 4 Combine like terms: -4 + 4 = 0 0 + 2x = -18 + 4 2x = -18 + 4 Combine like terms: -18 + 4 = -14 2x = -14 Divide each side by '2'. x = -7 Simplifying x = -7
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