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Simplifying x + -5(x + -4) = 4x + -22 Reorder the terms: x + -5(-4 + x) = 4x + -22 x + (-4 * -5 + x * -5) = 4x + -22 x + (20 + -5x) = 4x + -22 Reorder the terms: 20 + x + -5x = 4x + -22 Combine like terms: x + -5x = -4x 20 + -4x = 4x + -22 Reorder the terms: 20 + -4x = -22 + 4x Solving 20 + -4x = -22 + 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. 20 + -4x + -4x = -22 + 4x + -4x Combine like terms: -4x + -4x = -8x 20 + -8x = -22 + 4x + -4x Combine like terms: 4x + -4x = 0 20 + -8x = -22 + 0 20 + -8x = -22 Add '-20' to each side of the equation. 20 + -20 + -8x = -22 + -20 Combine like terms: 20 + -20 = 0 0 + -8x = -22 + -20 -8x = -22 + -20 Combine like terms: -22 + -20 = -42 -8x = -42 Divide each side by '-8'. x = 5.25 Simplifying x = 5.25
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