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Simplifying 4(5x + 10) + -9(x + -3) = 68 Reorder the terms: 4(10 + 5x) + -9(x + -3) = 68 (10 * 4 + 5x * 4) + -9(x + -3) = 68 (40 + 20x) + -9(x + -3) = 68 Reorder the terms: 40 + 20x + -9(-3 + x) = 68 40 + 20x + (-3 * -9 + x * -9) = 68 40 + 20x + (27 + -9x) = 68 Reorder the terms: 40 + 27 + 20x + -9x = 68 Combine like terms: 40 + 27 = 67 67 + 20x + -9x = 68 Combine like terms: 20x + -9x = 11x 67 + 11x = 68 Solving 67 + 11x = 68 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-67' to each side of the equation. 67 + -67 + 11x = 68 + -67 Combine like terms: 67 + -67 = 0 0 + 11x = 68 + -67 11x = 68 + -67 Combine like terms: 68 + -67 = 1 11x = 1 Divide each side by '11'. x = 0.09090909091 Simplifying x = 0.09090909091
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