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Simplifying 7x + 2x + -1 = -7(-1 + -1x) Reorder the terms: -1 + 7x + 2x = -7(-1 + -1x) Combine like terms: 7x + 2x = 9x -1 + 9x = -7(-1 + -1x) -1 + 9x = (-1 * -7 + -1x * -7) -1 + 9x = (7 + 7x) Solving -1 + 9x = 7 + 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. -1 + 9x + -7x = 7 + 7x + -7x Combine like terms: 9x + -7x = 2x -1 + 2x = 7 + 7x + -7x Combine like terms: 7x + -7x = 0 -1 + 2x = 7 + 0 -1 + 2x = 7 Add '1' to each side of the equation. -1 + 1 + 2x = 7 + 1 Combine like terms: -1 + 1 = 0 0 + 2x = 7 + 1 2x = 7 + 1 Combine like terms: 7 + 1 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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