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Simplifying 10(1 + x) = 22 + -2x (1 * 10 + x * 10) = 22 + -2x (10 + 10x) = 22 + -2x Solving 10 + 10x = 22 + -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. 10 + 10x + 2x = 22 + -2x + 2x Combine like terms: 10x + 2x = 12x 10 + 12x = 22 + -2x + 2x Combine like terms: -2x + 2x = 0 10 + 12x = 22 + 0 10 + 12x = 22 Add '-10' to each side of the equation. 10 + -10 + 12x = 22 + -10 Combine like terms: 10 + -10 = 0 0 + 12x = 22 + -10 12x = 22 + -10 Combine like terms: 22 + -10 = 12 12x = 12 Divide each side by '12'. x = 1 Simplifying x = 1
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