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Simplifying 7(4x + 22) = 2x + 9 Reorder the terms: 7(22 + 4x) = 2x + 9 (22 * 7 + 4x * 7) = 2x + 9 (154 + 28x) = 2x + 9 Reorder the terms: 154 + 28x = 9 + 2x Solving 154 + 28x = 9 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 154 + 28x + -2x = 9 + 2x + -2x Combine like terms: 28x + -2x = 26x 154 + 26x = 9 + 2x + -2x Combine like terms: 2x + -2x = 0 154 + 26x = 9 + 0 154 + 26x = 9 Add '-154' to each side of the equation. 154 + -154 + 26x = 9 + -154 Combine like terms: 154 + -154 = 0 0 + 26x = 9 + -154 26x = 9 + -154 Combine like terms: 9 + -154 = -145 26x = -145 Divide each side by '26'. x = -5.576923077 Simplifying x = -5.576923077
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