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Simplifying 9(x + 6) + -5(2x + -7) = 22 Reorder the terms: 9(6 + x) + -5(2x + -7) = 22 (6 * 9 + x * 9) + -5(2x + -7) = 22 (54 + 9x) + -5(2x + -7) = 22 Reorder the terms: 54 + 9x + -5(-7 + 2x) = 22 54 + 9x + (-7 * -5 + 2x * -5) = 22 54 + 9x + (35 + -10x) = 22 Reorder the terms: 54 + 35 + 9x + -10x = 22 Combine like terms: 54 + 35 = 89 89 + 9x + -10x = 22 Combine like terms: 9x + -10x = -1x 89 + -1x = 22 Solving 89 + -1x = 22 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-89' to each side of the equation. 89 + -89 + -1x = 22 + -89 Combine like terms: 89 + -89 = 0 0 + -1x = 22 + -89 -1x = 22 + -89 Combine like terms: 22 + -89 = -67 -1x = -67 Divide each side by '-1'. x = 67 Simplifying x = 67
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