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Simplifying 2x + 4(x + -6) = -11 + -5(x + -4) Reorder the terms: 2x + 4(-6 + x) = -11 + -5(x + -4) 2x + (-6 * 4 + x * 4) = -11 + -5(x + -4) 2x + (-24 + 4x) = -11 + -5(x + -4) Reorder the terms: -24 + 2x + 4x = -11 + -5(x + -4) Combine like terms: 2x + 4x = 6x -24 + 6x = -11 + -5(x + -4) Reorder the terms: -24 + 6x = -11 + -5(-4 + x) -24 + 6x = -11 + (-4 * -5 + x * -5) -24 + 6x = -11 + (20 + -5x) Combine like terms: -11 + 20 = 9 -24 + 6x = 9 + -5x Solving -24 + 6x = 9 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -24 + 6x + 5x = 9 + -5x + 5x Combine like terms: 6x + 5x = 11x -24 + 11x = 9 + -5x + 5x Combine like terms: -5x + 5x = 0 -24 + 11x = 9 + 0 -24 + 11x = 9 Add '24' to each side of the equation. -24 + 24 + 11x = 9 + 24 Combine like terms: -24 + 24 = 0 0 + 11x = 9 + 24 11x = 9 + 24 Combine like terms: 9 + 24 = 33 11x = 33 Divide each side by '11'. x = 3 Simplifying x = 3
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