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Simplifying 10 + -1(x + 9) = 5x + -5 Reorder the terms: 10 + -1(9 + x) = 5x + -5 10 + (9 * -1 + x * -1) = 5x + -5 10 + (-9 + -1x) = 5x + -5 Combine like terms: 10 + -9 = 1 1 + -1x = 5x + -5 Reorder the terms: 1 + -1x = -5 + 5x Solving 1 + -1x = -5 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 1 + -1x + -5x = -5 + 5x + -5x Combine like terms: -1x + -5x = -6x 1 + -6x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 1 + -6x = -5 + 0 1 + -6x = -5 Add '-1' to each side of the equation. 1 + -1 + -6x = -5 + -1 Combine like terms: 1 + -1 = 0 0 + -6x = -5 + -1 -6x = -5 + -1 Combine like terms: -5 + -1 = -6 -6x = -6 Divide each side by '-6'. x = 1 Simplifying x = 1
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