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Simplifying 5x + (7 + -7x) = x + -22 Remove parenthesis around (7 + -7x) 5x + 7 + -7x = x + -22 Reorder the terms: 7 + 5x + -7x = x + -22 Combine like terms: 5x + -7x = -2x 7 + -2x = x + -22 Reorder the terms: 7 + -2x = -22 + x Solving 7 + -2x = -22 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 7 + -2x + -1x = -22 + x + -1x Combine like terms: -2x + -1x = -3x 7 + -3x = -22 + x + -1x Combine like terms: x + -1x = 0 7 + -3x = -22 + 0 7 + -3x = -22 Add '-7' to each side of the equation. 7 + -7 + -3x = -22 + -7 Combine like terms: 7 + -7 = 0 0 + -3x = -22 + -7 -3x = -22 + -7 Combine like terms: -22 + -7 = -29 -3x = -29 Divide each side by '-3'. x = 9.666666667 Simplifying x = 9.666666667
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