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Simplifying -7(4x + -7) + 5(2x + 5) = 22 Reorder the terms: -7(-7 + 4x) + 5(2x + 5) = 22 (-7 * -7 + 4x * -7) + 5(2x + 5) = 22 (49 + -28x) + 5(2x + 5) = 22 Reorder the terms: 49 + -28x + 5(5 + 2x) = 22 49 + -28x + (5 * 5 + 2x * 5) = 22 49 + -28x + (25 + 10x) = 22 Reorder the terms: 49 + 25 + -28x + 10x = 22 Combine like terms: 49 + 25 = 74 74 + -28x + 10x = 22 Combine like terms: -28x + 10x = -18x 74 + -18x = 22 Solving 74 + -18x = 22 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-74' to each side of the equation. 74 + -74 + -18x = 22 + -74 Combine like terms: 74 + -74 = 0 0 + -18x = 22 + -74 -18x = 22 + -74 Combine like terms: 22 + -74 = -52 -18x = -52 Divide each side by '-18'. x = 2.888888889 Simplifying x = 2.888888889
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