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Simplifying 5x + 4(-3x + -5) = -22 + -5x Reorder the terms: 5x + 4(-5 + -3x) = -22 + -5x 5x + (-5 * 4 + -3x * 4) = -22 + -5x 5x + (-20 + -12x) = -22 + -5x Reorder the terms: -20 + 5x + -12x = -22 + -5x Combine like terms: 5x + -12x = -7x -20 + -7x = -22 + -5x Solving -20 + -7x = -22 + -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. -20 + -7x + 5x = -22 + -5x + 5x Combine like terms: -7x + 5x = -2x -20 + -2x = -22 + -5x + 5x Combine like terms: -5x + 5x = 0 -20 + -2x = -22 + 0 -20 + -2x = -22 Add '20' to each side of the equation. -20 + 20 + -2x = -22 + 20 Combine like terms: -20 + 20 = 0 0 + -2x = -22 + 20 -2x = -22 + 20 Combine like terms: -22 + 20 = -2 -2x = -2 Divide each side by '-2'. x = 1 Simplifying x = 1
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