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Simplifying 4(3.5 + x) = 2x + 22 (3.5 * 4 + x * 4) = 2x + 22 (14 + 4x) = 2x + 22 Reorder the terms: 14 + 4x = 22 + 2x Solving 14 + 4x = 22 + 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. 14 + 4x + -2x = 22 + 2x + -2x Combine like terms: 4x + -2x = 2x 14 + 2x = 22 + 2x + -2x Combine like terms: 2x + -2x = 0 14 + 2x = 22 + 0 14 + 2x = 22 Add '-14' to each side of the equation. 14 + -14 + 2x = 22 + -14 Combine like terms: 14 + -14 = 0 0 + 2x = 22 + -14 2x = 22 + -14 Combine like terms: 22 + -14 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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