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Simplifying 7 + -3(4x + -9) = 5(2x + -11) Reorder the terms: 7 + -3(-9 + 4x) = 5(2x + -11) 7 + (-9 * -3 + 4x * -3) = 5(2x + -11) 7 + (27 + -12x) = 5(2x + -11) Combine like terms: 7 + 27 = 34 34 + -12x = 5(2x + -11) Reorder the terms: 34 + -12x = 5(-11 + 2x) 34 + -12x = (-11 * 5 + 2x * 5) 34 + -12x = (-55 + 10x) Solving 34 + -12x = -55 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 34 + -12x + -10x = -55 + 10x + -10x Combine like terms: -12x + -10x = -22x 34 + -22x = -55 + 10x + -10x Combine like terms: 10x + -10x = 0 34 + -22x = -55 + 0 34 + -22x = -55 Add '-34' to each side of the equation. 34 + -34 + -22x = -55 + -34 Combine like terms: 34 + -34 = 0 0 + -22x = -55 + -34 -22x = -55 + -34 Combine like terms: -55 + -34 = -89 -22x = -89 Divide each side by '-22'. x = 4.045454545 Simplifying x = 4.045454545
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