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Simplifying 2(x + 5) = 8x + 22 Reorder the terms: 2(5 + x) = 8x + 22 (5 * 2 + x * 2) = 8x + 22 (10 + 2x) = 8x + 22 Reorder the terms: 10 + 2x = 22 + 8x Solving 10 + 2x = 22 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 10 + 2x + -8x = 22 + 8x + -8x Combine like terms: 2x + -8x = -6x 10 + -6x = 22 + 8x + -8x Combine like terms: 8x + -8x = 0 10 + -6x = 22 + 0 10 + -6x = 22 Add '-10' to each side of the equation. 10 + -10 + -6x = 22 + -10 Combine like terms: 10 + -10 = 0 0 + -6x = 22 + -10 -6x = 22 + -10 Combine like terms: 22 + -10 = 12 -6x = 12 Divide each side by '-6'. x = -2 Simplifying x = -2
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