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Simplifying 4(4x + -5) + -18 = 14 + 22x Reorder the terms: 4(-5 + 4x) + -18 = 14 + 22x (-5 * 4 + 4x * 4) + -18 = 14 + 22x (-20 + 16x) + -18 = 14 + 22x Reorder the terms: -20 + -18 + 16x = 14 + 22x Combine like terms: -20 + -18 = -38 -38 + 16x = 14 + 22x Solving -38 + 16x = 14 + 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. -38 + 16x + -22x = 14 + 22x + -22x Combine like terms: 16x + -22x = -6x -38 + -6x = 14 + 22x + -22x Combine like terms: 22x + -22x = 0 -38 + -6x = 14 + 0 -38 + -6x = 14 Add '38' to each side of the equation. -38 + 38 + -6x = 14 + 38 Combine like terms: -38 + 38 = 0 0 + -6x = 14 + 38 -6x = 14 + 38 Combine like terms: 14 + 38 = 52 -6x = 52 Divide each side by '-6'. x = -8.666666667 Simplifying x = -8.666666667
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