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Simplifying 2 + 9(x + -5) = 3 + -2(x + -4) Reorder the terms: 2 + 9(-5 + x) = 3 + -2(x + -4) 2 + (-5 * 9 + x * 9) = 3 + -2(x + -4) 2 + (-45 + 9x) = 3 + -2(x + -4) Combine like terms: 2 + -45 = -43 -43 + 9x = 3 + -2(x + -4) Reorder the terms: -43 + 9x = 3 + -2(-4 + x) -43 + 9x = 3 + (-4 * -2 + x * -2) -43 + 9x = 3 + (8 + -2x) Combine like terms: 3 + 8 = 11 -43 + 9x = 11 + -2x Solving -43 + 9x = 11 + -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. -43 + 9x + 2x = 11 + -2x + 2x Combine like terms: 9x + 2x = 11x -43 + 11x = 11 + -2x + 2x Combine like terms: -2x + 2x = 0 -43 + 11x = 11 + 0 -43 + 11x = 11 Add '43' to each side of the equation. -43 + 43 + 11x = 11 + 43 Combine like terms: -43 + 43 = 0 0 + 11x = 11 + 43 11x = 11 + 43 Combine like terms: 11 + 43 = 54 11x = 54 Divide each side by '11'. x = 4.909090909 Simplifying x = 4.909090909
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