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Simplifying 9(2x + -1) = 6(10x + -6) Reorder the terms: 9(-1 + 2x) = 6(10x + -6) (-1 * 9 + 2x * 9) = 6(10x + -6) (-9 + 18x) = 6(10x + -6) Reorder the terms: -9 + 18x = 6(-6 + 10x) -9 + 18x = (-6 * 6 + 10x * 6) -9 + 18x = (-36 + 60x) Solving -9 + 18x = -36 + 60x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60x' to each side of the equation. -9 + 18x + -60x = -36 + 60x + -60x Combine like terms: 18x + -60x = -42x -9 + -42x = -36 + 60x + -60x Combine like terms: 60x + -60x = 0 -9 + -42x = -36 + 0 -9 + -42x = -36 Add '9' to each side of the equation. -9 + 9 + -42x = -36 + 9 Combine like terms: -9 + 9 = 0 0 + -42x = -36 + 9 -42x = -36 + 9 Combine like terms: -36 + 9 = -27 -42x = -27 Divide each side by '-42'. x = 0.6428571429 Simplifying x = 0.6428571429
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