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Simplifying 5(2x + -11) + -6x + -20 = 4(2x + 1) + -5x + 16 Reorder the terms: 5(-11 + 2x) + -6x + -20 = 4(2x + 1) + -5x + 16 (-11 * 5 + 2x * 5) + -6x + -20 = 4(2x + 1) + -5x + 16 (-55 + 10x) + -6x + -20 = 4(2x + 1) + -5x + 16 Reorder the terms: -55 + -20 + 10x + -6x = 4(2x + 1) + -5x + 16 Combine like terms: -55 + -20 = -75 -75 + 10x + -6x = 4(2x + 1) + -5x + 16 Combine like terms: 10x + -6x = 4x -75 + 4x = 4(2x + 1) + -5x + 16 Reorder the terms: -75 + 4x = 4(1 + 2x) + -5x + 16 -75 + 4x = (1 * 4 + 2x * 4) + -5x + 16 -75 + 4x = (4 + 8x) + -5x + 16 Reorder the terms: -75 + 4x = 4 + 16 + 8x + -5x Combine like terms: 4 + 16 = 20 -75 + 4x = 20 + 8x + -5x Combine like terms: 8x + -5x = 3x -75 + 4x = 20 + 3x Solving -75 + 4x = 20 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -75 + 4x + -3x = 20 + 3x + -3x Combine like terms: 4x + -3x = 1x -75 + 1x = 20 + 3x + -3x Combine like terms: 3x + -3x = 0 -75 + 1x = 20 + 0 -75 + 1x = 20 Add '75' to each side of the equation. -75 + 75 + 1x = 20 + 75 Combine like terms: -75 + 75 = 0 0 + 1x = 20 + 75 1x = 20 + 75 Combine like terms: 20 + 75 = 95 1x = 95 Divide each side by '1'. x = 95 Simplifying x = 95
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