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Simplifying 7x + -22 = 3(x + 6) Reorder the terms: -22 + 7x = 3(x + 6) Reorder the terms: -22 + 7x = 3(6 + x) -22 + 7x = (6 * 3 + x * 3) -22 + 7x = (18 + 3x) Solving -22 + 7x = 18 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -22 + 7x + -3x = 18 + 3x + -3x Combine like terms: 7x + -3x = 4x -22 + 4x = 18 + 3x + -3x Combine like terms: 3x + -3x = 0 -22 + 4x = 18 + 0 -22 + 4x = 18 Add '22' to each side of the equation. -22 + 22 + 4x = 18 + 22 Combine like terms: -22 + 22 = 0 0 + 4x = 18 + 22 4x = 18 + 22 Combine like terms: 18 + 22 = 40 4x = 40 Divide each side by '4'. x = 10 Simplifying x = 10
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