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Simplifying 18(x + 1) = 22(x) Reorder the terms: 18(1 + x) = 22(x) (1 * 18 + x * 18) = 22(x) (18 + 18x) = 22(x) Solving 18 + 18x = 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. 18 + 18x + -22x = 22x + -22x Combine like terms: 18x + -22x = -4x 18 + -4x = 22x + -22x Combine like terms: 22x + -22x = 0 18 + -4x = 0 Add '-18' to each side of the equation. 18 + -18 + -4x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -4x = 0 + -18 -4x = 0 + -18 Combine like terms: 0 + -18 = -18 -4x = -18 Divide each side by '-4'. x = 4.5 Simplifying x = 4.5
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