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Simplifying 5(x + -4) + -2 = 4x + -1(2x + 4) Reorder the terms: 5(-4 + x) + -2 = 4x + -1(2x + 4) (-4 * 5 + x * 5) + -2 = 4x + -1(2x + 4) (-20 + 5x) + -2 = 4x + -1(2x + 4) Reorder the terms: -20 + -2 + 5x = 4x + -1(2x + 4) Combine like terms: -20 + -2 = -22 -22 + 5x = 4x + -1(2x + 4) Reorder the terms: -22 + 5x = 4x + -1(4 + 2x) -22 + 5x = 4x + (4 * -1 + 2x * -1) -22 + 5x = 4x + (-4 + -2x) Reorder the terms: -22 + 5x = -4 + 4x + -2x Combine like terms: 4x + -2x = 2x -22 + 5x = -4 + 2x Solving -22 + 5x = -4 + 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 = -4 + 2x + -2x Combine like terms: 5x + -2x = 3x -22 + 3x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 -22 + 3x = -4 + 0 -22 + 3x = -4 Add '22' to each side of the equation. -22 + 22 + 3x = -4 + 22 Combine like terms: -22 + 22 = 0 0 + 3x = -4 + 22 3x = -4 + 22 Combine like terms: -4 + 22 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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