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Simplifying 3x + -4(2x + -9) = 5x + 11 Reorder the terms: 3x + -4(-9 + 2x) = 5x + 11 3x + (-9 * -4 + 2x * -4) = 5x + 11 3x + (36 + -8x) = 5x + 11 Reorder the terms: 36 + 3x + -8x = 5x + 11 Combine like terms: 3x + -8x = -5x 36 + -5x = 5x + 11 Reorder the terms: 36 + -5x = 11 + 5x Solving 36 + -5x = 11 + 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. 36 + -5x + -5x = 11 + 5x + -5x Combine like terms: -5x + -5x = -10x 36 + -10x = 11 + 5x + -5x Combine like terms: 5x + -5x = 0 36 + -10x = 11 + 0 36 + -10x = 11 Add '-36' to each side of the equation. 36 + -36 + -10x = 11 + -36 Combine like terms: 36 + -36 = 0 0 + -10x = 11 + -36 -10x = 11 + -36 Combine like terms: 11 + -36 = -25 -10x = -25 Divide each side by '-10'. x = 2.5 Simplifying x = 2.5
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