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Simplifying 9x + -1(x + -5) = 2x + -1(49 + x) Reorder the terms: 9x + -1(-5 + x) = 2x + -1(49 + x) 9x + (-5 * -1 + x * -1) = 2x + -1(49 + x) 9x + (5 + -1x) = 2x + -1(49 + x) Reorder the terms: 5 + 9x + -1x = 2x + -1(49 + x) Combine like terms: 9x + -1x = 8x 5 + 8x = 2x + -1(49 + x) 5 + 8x = 2x + (49 * -1 + x * -1) 5 + 8x = 2x + (-49 + -1x) Reorder the terms: 5 + 8x = -49 + 2x + -1x Combine like terms: 2x + -1x = 1x 5 + 8x = -49 + 1x Solving 5 + 8x = -49 + 1x 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. 5 + 8x + -1x = -49 + 1x + -1x Combine like terms: 8x + -1x = 7x 5 + 7x = -49 + 1x + -1x Combine like terms: 1x + -1x = 0 5 + 7x = -49 + 0 5 + 7x = -49 Add '-5' to each side of the equation. 5 + -5 + 7x = -49 + -5 Combine like terms: 5 + -5 = 0 0 + 7x = -49 + -5 7x = -49 + -5 Combine like terms: -49 + -5 = -54 7x = -54 Divide each side by '7'. x = -7.714285714 Simplifying x = -7.714285714
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