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Simplifying (3x + 2) + 7 = (22 + -1x) + 14.14 Reorder the terms: (2 + 3x) + 7 = (22 + -1x) + 14.14 Remove parenthesis around (2 + 3x) 2 + 3x + 7 = (22 + -1x) + 14.14 Reorder the terms: 2 + 7 + 3x = (22 + -1x) + 14.14 Combine like terms: 2 + 7 = 9 9 + 3x = (22 + -1x) + 14.14 Remove parenthesis around (22 + -1x) 9 + 3x = 22 + -1x + 14.14 Reorder the terms: 9 + 3x = 22 + 14.14 + -1x Combine like terms: 22 + 14.14 = 36.14 9 + 3x = 36.14 + -1x Solving 9 + 3x = 36.14 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 9 + 3x + x = 36.14 + -1x + x Combine like terms: 3x + x = 4x 9 + 4x = 36.14 + -1x + x Combine like terms: -1x + x = 0 9 + 4x = 36.14 + 0 9 + 4x = 36.14 Add '-9' to each side of the equation. 9 + -9 + 4x = 36.14 + -9 Combine like terms: 9 + -9 = 0 0 + 4x = 36.14 + -9 4x = 36.14 + -9 Combine like terms: 36.14 + -9 = 27.14 4x = 27.14 Divide each side by '4'. x = 6.785 Simplifying x = 6.785
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