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Simplifying 72x + -9(11x + 19) = -4(19 + 2x) Reorder the terms: 72x + -9(19 + 11x) = -4(19 + 2x) 72x + (19 * -9 + 11x * -9) = -4(19 + 2x) 72x + (-171 + -99x) = -4(19 + 2x) Reorder the terms: -171 + 72x + -99x = -4(19 + 2x) Combine like terms: 72x + -99x = -27x -171 + -27x = -4(19 + 2x) -171 + -27x = (19 * -4 + 2x * -4) -171 + -27x = (-76 + -8x) Solving -171 + -27x = -76 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -171 + -27x + 8x = -76 + -8x + 8x Combine like terms: -27x + 8x = -19x -171 + -19x = -76 + -8x + 8x Combine like terms: -8x + 8x = 0 -171 + -19x = -76 + 0 -171 + -19x = -76 Add '171' to each side of the equation. -171 + 171 + -19x = -76 + 171 Combine like terms: -171 + 171 = 0 0 + -19x = -76 + 171 -19x = -76 + 171 Combine like terms: -76 + 171 = 95 -19x = 95 Divide each side by '-19'. x = -5 Simplifying x = -5
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