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Simplifying 3(x + 22) = 14 + -7(x) Reorder the terms: 3(22 + x) = 14 + -7(x) (22 * 3 + x * 3) = 14 + -7(x) (66 + 3x) = 14 + -7(x) Solving 66 + 3x = 14 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 66 + 3x + 7x = 14 + -7x + 7x Combine like terms: 3x + 7x = 10x 66 + 10x = 14 + -7x + 7x Combine like terms: -7x + 7x = 0 66 + 10x = 14 + 0 66 + 10x = 14 Add '-66' to each side of the equation. 66 + -66 + 10x = 14 + -66 Combine like terms: 66 + -66 = 0 0 + 10x = 14 + -66 10x = 14 + -66 Combine like terms: 14 + -66 = -52 10x = -52 Divide each side by '10'. x = -5.2 Simplifying x = -5.2
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