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Simplifying 3x + -1(-1x + -1(9 + -5x) + 7x) = 99 + x 3x + -1(-1x + (9 * -1 + -5x * -1) + 7x) = 99 + x 3x + -1(-1x + (-9 + 5x) + 7x) = 99 + x Reorder the terms: 3x + -1(-9 + -1x + 5x + 7x) = 99 + x Combine like terms: -1x + 5x = 4x 3x + -1(-9 + 4x + 7x) = 99 + x Combine like terms: 4x + 7x = 11x 3x + -1(-9 + 11x) = 99 + x 3x + (-9 * -1 + 11x * -1) = 99 + x 3x + (9 + -11x) = 99 + x Reorder the terms: 9 + 3x + -11x = 99 + x Combine like terms: 3x + -11x = -8x 9 + -8x = 99 + x Solving 9 + -8x = 99 + 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. 9 + -8x + -1x = 99 + x + -1x Combine like terms: -8x + -1x = -9x 9 + -9x = 99 + x + -1x Combine like terms: x + -1x = 0 9 + -9x = 99 + 0 9 + -9x = 99 Add '-9' to each side of the equation. 9 + -9 + -9x = 99 + -9 Combine like terms: 9 + -9 = 0 0 + -9x = 99 + -9 -9x = 99 + -9 Combine like terms: 99 + -9 = 90 -9x = 90 Divide each side by '-9'. x = -10 Simplifying x = -10
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