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Simplifying 7(8 + 2x) = 11 + 22x (8 * 7 + 2x * 7) = 11 + 22x (56 + 14x) = 11 + 22x Solving 56 + 14x = 11 + 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. 56 + 14x + -22x = 11 + 22x + -22x Combine like terms: 14x + -22x = -8x 56 + -8x = 11 + 22x + -22x Combine like terms: 22x + -22x = 0 56 + -8x = 11 + 0 56 + -8x = 11 Add '-56' to each side of the equation. 56 + -56 + -8x = 11 + -56 Combine like terms: 56 + -56 = 0 0 + -8x = 11 + -56 -8x = 11 + -56 Combine like terms: 11 + -56 = -45 -8x = -45 Divide each side by '-8'. x = 5.625 Simplifying x = 5.625
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