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Simplifying 2(x + -5) = 9 + -3(3x + -2) Reorder the terms: 2(-5 + x) = 9 + -3(3x + -2) (-5 * 2 + x * 2) = 9 + -3(3x + -2) (-10 + 2x) = 9 + -3(3x + -2) Reorder the terms: -10 + 2x = 9 + -3(-2 + 3x) -10 + 2x = 9 + (-2 * -3 + 3x * -3) -10 + 2x = 9 + (6 + -9x) Combine like terms: 9 + 6 = 15 -10 + 2x = 15 + -9x Solving -10 + 2x = 15 + -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 = 15 + -9x + 9x Combine like terms: 2x + 9x = 11x -10 + 11x = 15 + -9x + 9x Combine like terms: -9x + 9x = 0 -10 + 11x = 15 + 0 -10 + 11x = 15 Add '10' to each side of the equation. -10 + 10 + 11x = 15 + 10 Combine like terms: -10 + 10 = 0 0 + 11x = 15 + 10 11x = 15 + 10 Combine like terms: 15 + 10 = 25 11x = 25 Divide each side by '11'. x = 2.272727273 Simplifying x = 2.272727273
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