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Simplifying 4(2x + -5) + -11 = 3x + 49 Reorder the terms: 4(-5 + 2x) + -11 = 3x + 49 (-5 * 4 + 2x * 4) + -11 = 3x + 49 (-20 + 8x) + -11 = 3x + 49 Reorder the terms: -20 + -11 + 8x = 3x + 49 Combine like terms: -20 + -11 = -31 -31 + 8x = 3x + 49 Reorder the terms: -31 + 8x = 49 + 3x Solving -31 + 8x = 49 + 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. -31 + 8x + -3x = 49 + 3x + -3x Combine like terms: 8x + -3x = 5x -31 + 5x = 49 + 3x + -3x Combine like terms: 3x + -3x = 0 -31 + 5x = 49 + 0 -31 + 5x = 49 Add '31' to each side of the equation. -31 + 31 + 5x = 49 + 31 Combine like terms: -31 + 31 = 0 0 + 5x = 49 + 31 5x = 49 + 31 Combine like terms: 49 + 31 = 80 5x = 80 Divide each side by '5'. x = 16 Simplifying x = 16
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