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Simplifying 2(11x + 5x + -11) = 9x + 3(16x + -24) Reorder the terms: 2(-11 + 11x + 5x) = 9x + 3(16x + -24) Combine like terms: 11x + 5x = 16x 2(-11 + 16x) = 9x + 3(16x + -24) (-11 * 2 + 16x * 2) = 9x + 3(16x + -24) (-22 + 32x) = 9x + 3(16x + -24) Reorder the terms: -22 + 32x = 9x + 3(-24 + 16x) -22 + 32x = 9x + (-24 * 3 + 16x * 3) -22 + 32x = 9x + (-72 + 48x) Reorder the terms: -22 + 32x = -72 + 9x + 48x Combine like terms: 9x + 48x = 57x -22 + 32x = -72 + 57x Solving -22 + 32x = -72 + 57x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-57x' to each side of the equation. -22 + 32x + -57x = -72 + 57x + -57x Combine like terms: 32x + -57x = -25x -22 + -25x = -72 + 57x + -57x Combine like terms: 57x + -57x = 0 -22 + -25x = -72 + 0 -22 + -25x = -72 Add '22' to each side of the equation. -22 + 22 + -25x = -72 + 22 Combine like terms: -22 + 22 = 0 0 + -25x = -72 + 22 -25x = -72 + 22 Combine like terms: -72 + 22 = -50 -25x = -50 Divide each side by '-25'. x = 2 Simplifying x = 2
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