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Simplifying 9(2x + -19) = 3(3x + -25) + -8 Reorder the terms: 9(-19 + 2x) = 3(3x + -25) + -8 (-19 * 9 + 2x * 9) = 3(3x + -25) + -8 (-171 + 18x) = 3(3x + -25) + -8 Reorder the terms: -171 + 18x = 3(-25 + 3x) + -8 -171 + 18x = (-25 * 3 + 3x * 3) + -8 -171 + 18x = (-75 + 9x) + -8 Reorder the terms: -171 + 18x = -75 + -8 + 9x Combine like terms: -75 + -8 = -83 -171 + 18x = -83 + 9x Solving -171 + 18x = -83 + 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. -171 + 18x + -9x = -83 + 9x + -9x Combine like terms: 18x + -9x = 9x -171 + 9x = -83 + 9x + -9x Combine like terms: 9x + -9x = 0 -171 + 9x = -83 + 0 -171 + 9x = -83 Add '171' to each side of the equation. -171 + 171 + 9x = -83 + 171 Combine like terms: -171 + 171 = 0 0 + 9x = -83 + 171 9x = -83 + 171 Combine like terms: -83 + 171 = 88 9x = 88 Divide each side by '9'. x = 9.777777778 Simplifying x = 9.777777778
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