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Simplifying 4 + 5(x + -9) = 11 + -2(x + -9) Reorder the terms: 4 + 5(-9 + x) = 11 + -2(x + -9) 4 + (-9 * 5 + x * 5) = 11 + -2(x + -9) 4 + (-45 + 5x) = 11 + -2(x + -9) Combine like terms: 4 + -45 = -41 -41 + 5x = 11 + -2(x + -9) Reorder the terms: -41 + 5x = 11 + -2(-9 + x) -41 + 5x = 11 + (-9 * -2 + x * -2) -41 + 5x = 11 + (18 + -2x) Combine like terms: 11 + 18 = 29 -41 + 5x = 29 + -2x Solving -41 + 5x = 29 + -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. -41 + 5x + 2x = 29 + -2x + 2x Combine like terms: 5x + 2x = 7x -41 + 7x = 29 + -2x + 2x Combine like terms: -2x + 2x = 0 -41 + 7x = 29 + 0 -41 + 7x = 29 Add '41' to each side of the equation. -41 + 41 + 7x = 29 + 41 Combine like terms: -41 + 41 = 0 0 + 7x = 29 + 41 7x = 29 + 41 Combine like terms: 29 + 41 = 70 7x = 70 Divide each side by '7'. x = 10 Simplifying x = 10
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