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Simplifying 2(5x + -8) = 22(x + -2) Reorder the terms: 2(-8 + 5x) = 22(x + -2) (-8 * 2 + 5x * 2) = 22(x + -2) (-16 + 10x) = 22(x + -2) Reorder the terms: -16 + 10x = 22(-2 + x) -16 + 10x = (-2 * 22 + x * 22) -16 + 10x = (-44 + 22x) Solving -16 + 10x = -44 + 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. -16 + 10x + -22x = -44 + 22x + -22x Combine like terms: 10x + -22x = -12x -16 + -12x = -44 + 22x + -22x Combine like terms: 22x + -22x = 0 -16 + -12x = -44 + 0 -16 + -12x = -44 Add '16' to each side of the equation. -16 + 16 + -12x = -44 + 16 Combine like terms: -16 + 16 = 0 0 + -12x = -44 + 16 -12x = -44 + 16 Combine like terms: -44 + 16 = -28 -12x = -28 Divide each side by '-12'. x = 2.333333333 Simplifying x = 2.333333333
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