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Simplifying x + 4(x + -5) = 2(x + -5) + -22 Reorder the terms: x + 4(-5 + x) = 2(x + -5) + -22 x + (-5 * 4 + x * 4) = 2(x + -5) + -22 x + (-20 + 4x) = 2(x + -5) + -22 Reorder the terms: -20 + x + 4x = 2(x + -5) + -22 Combine like terms: x + 4x = 5x -20 + 5x = 2(x + -5) + -22 Reorder the terms: -20 + 5x = 2(-5 + x) + -22 -20 + 5x = (-5 * 2 + x * 2) + -22 -20 + 5x = (-10 + 2x) + -22 Reorder the terms: -20 + 5x = -10 + -22 + 2x Combine like terms: -10 + -22 = -32 -20 + 5x = -32 + 2x Solving -20 + 5x = -32 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -20 + 5x + -2x = -32 + 2x + -2x Combine like terms: 5x + -2x = 3x -20 + 3x = -32 + 2x + -2x Combine like terms: 2x + -2x = 0 -20 + 3x = -32 + 0 -20 + 3x = -32 Add '20' to each side of the equation. -20 + 20 + 3x = -32 + 20 Combine like terms: -20 + 20 = 0 0 + 3x = -32 + 20 3x = -32 + 20 Combine like terms: -32 + 20 = -12 3x = -12 Divide each side by '3'. x = -4 Simplifying x = -4
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