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Simplifying 7x + (7 + -1x) + -1(x + 22) = 0 Remove parenthesis around (7 + -1x) 7x + 7 + -1x + -1(x + 22) = 0 Reorder the terms: 7x + 7 + -1x + -1(22 + x) = 0 7x + 7 + -1x + (22 * -1 + x * -1) = 0 7x + 7 + -1x + (-22 + -1x) = 0 Reorder the terms: 7 + -22 + 7x + -1x + -1x = 0 Combine like terms: 7 + -22 = -15 -15 + 7x + -1x + -1x = 0 Combine like terms: 7x + -1x = 6x -15 + 6x + -1x = 0 Combine like terms: 6x + -1x = 5x -15 + 5x = 0 Solving -15 + 5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 5x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 5x = 0 + 15 5x = 0 + 15 Combine like terms: 0 + 15 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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