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Simplifying (9x + -2) + -8 = -8(x + -3) Reorder the terms: (-2 + 9x) + -8 = -8(x + -3) Remove parenthesis around (-2 + 9x) -2 + 9x + -8 = -8(x + -3) Reorder the terms: -2 + -8 + 9x = -8(x + -3) Combine like terms: -2 + -8 = -10 -10 + 9x = -8(x + -3) Reorder the terms: -10 + 9x = -8(-3 + x) -10 + 9x = (-3 * -8 + x * -8) -10 + 9x = (24 + -8x) Solving -10 + 9x = 24 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -10 + 9x + 8x = 24 + -8x + 8x Combine like terms: 9x + 8x = 17x -10 + 17x = 24 + -8x + 8x Combine like terms: -8x + 8x = 0 -10 + 17x = 24 + 0 -10 + 17x = 24 Add '10' to each side of the equation. -10 + 10 + 17x = 24 + 10 Combine like terms: -10 + 10 = 0 0 + 17x = 24 + 10 17x = 24 + 10 Combine like terms: 24 + 10 = 34 17x = 34 Divide each side by '17'. x = 2 Simplifying x = 2
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