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Simplifying 5(x + -4) + -2 = 2x + -5 Reorder the terms: 5(-4 + x) + -2 = 2x + -5 (-4 * 5 + x * 5) + -2 = 2x + -5 (-20 + 5x) + -2 = 2x + -5 Reorder the terms: -20 + -2 + 5x = 2x + -5 Combine like terms: -20 + -2 = -22 -22 + 5x = 2x + -5 Reorder the terms: -22 + 5x = -5 + 2x Solving -22 + 5x = -5 + 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. -22 + 5x + -2x = -5 + 2x + -2x Combine like terms: 5x + -2x = 3x -22 + 3x = -5 + 2x + -2x Combine like terms: 2x + -2x = 0 -22 + 3x = -5 + 0 -22 + 3x = -5 Add '22' to each side of the equation. -22 + 22 + 3x = -5 + 22 Combine like terms: -22 + 22 = 0 0 + 3x = -5 + 22 3x = -5 + 22 Combine like terms: -5 + 22 = 17 3x = 17 Divide each side by '3'. x = 5.666666667 Simplifying x = 5.666666667
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