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Simplifying 9x + -10 = -5 + -2(x + 8) Reorder the terms: -10 + 9x = -5 + -2(x + 8) Reorder the terms: -10 + 9x = -5 + -2(8 + x) -10 + 9x = -5 + (8 * -2 + x * -2) -10 + 9x = -5 + (-16 + -2x) Combine like terms: -5 + -16 = -21 -10 + 9x = -21 + -2x Solving -10 + 9x = -21 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -10 + 9x + 2x = -21 + -2x + 2x Combine like terms: 9x + 2x = 11x -10 + 11x = -21 + -2x + 2x Combine like terms: -2x + 2x = 0 -10 + 11x = -21 + 0 -10 + 11x = -21 Add '10' to each side of the equation. -10 + 10 + 11x = -21 + 10 Combine like terms: -10 + 10 = 0 0 + 11x = -21 + 10 11x = -21 + 10 Combine like terms: -21 + 10 = -11 11x = -11 Divide each side by '11'. x = -1 Simplifying x = -1
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