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Simplifying 22(5x + 2) = 7(3 + -4x) Reorder the terms: 22(2 + 5x) = 7(3 + -4x) (2 * 22 + 5x * 22) = 7(3 + -4x) (44 + 110x) = 7(3 + -4x) 44 + 110x = (3 * 7 + -4x * 7) 44 + 110x = (21 + -28x) Solving 44 + 110x = 21 + -28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28x' to each side of the equation. 44 + 110x + 28x = 21 + -28x + 28x Combine like terms: 110x + 28x = 138x 44 + 138x = 21 + -28x + 28x Combine like terms: -28x + 28x = 0 44 + 138x = 21 + 0 44 + 138x = 21 Add '-44' to each side of the equation. 44 + -44 + 138x = 21 + -44 Combine like terms: 44 + -44 = 0 0 + 138x = 21 + -44 138x = 21 + -44 Combine like terms: 21 + -44 = -23 138x = -23 Divide each side by '138'. x = -0.1666666667 Simplifying x = -0.1666666667
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