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Simplifying 2(x + -5) = 9 + -3(3x + -1) Reorder the terms: 2(-5 + x) = 9 + -3(3x + -1) (-5 * 2 + x * 2) = 9 + -3(3x + -1) (-10 + 2x) = 9 + -3(3x + -1) Reorder the terms: -10 + 2x = 9 + -3(-1 + 3x) -10 + 2x = 9 + (-1 * -3 + 3x * -3) -10 + 2x = 9 + (3 + -9x) Combine like terms: 9 + 3 = 12 -10 + 2x = 12 + -9x Solving -10 + 2x = 12 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -10 + 2x + 9x = 12 + -9x + 9x Combine like terms: 2x + 9x = 11x -10 + 11x = 12 + -9x + 9x Combine like terms: -9x + 9x = 0 -10 + 11x = 12 + 0 -10 + 11x = 12 Add '10' to each side of the equation. -10 + 10 + 11x = 12 + 10 Combine like terms: -10 + 10 = 0 0 + 11x = 12 + 10 11x = 12 + 10 Combine like terms: 12 + 10 = 22 11x = 22 Divide each side by '11'. x = 2 Simplifying x = 2
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