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