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Simplifying 2 + -5(x + -4) = 5 + -4x + 11 Reorder the terms: 2 + -5(-4 + x) = 5 + -4x + 11 2 + (-4 * -5 + x * -5) = 5 + -4x + 11 2 + (20 + -5x) = 5 + -4x + 11 Combine like terms: 2 + 20 = 22 22 + -5x = 5 + -4x + 11 Reorder the terms: 22 + -5x = 5 + 11 + -4x Combine like terms: 5 + 11 = 16 22 + -5x = 16 + -4x Solving 22 + -5x = 16 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 22 + -5x + 4x = 16 + -4x + 4x Combine like terms: -5x + 4x = -1x 22 + -1x = 16 + -4x + 4x Combine like terms: -4x + 4x = 0 22 + -1x = 16 + 0 22 + -1x = 16 Add '-22' to each side of the equation. 22 + -22 + -1x = 16 + -22 Combine like terms: 22 + -22 = 0 0 + -1x = 16 + -22 -1x = 16 + -22 Combine like terms: 16 + -22 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6
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