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Simplifying 10(10 + 2x) = 6(22 + -2x) (10 * 10 + 2x * 10) = 6(22 + -2x) (100 + 20x) = 6(22 + -2x) 100 + 20x = (22 * 6 + -2x * 6) 100 + 20x = (132 + -12x) Solving 100 + 20x = 132 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 100 + 20x + 12x = 132 + -12x + 12x Combine like terms: 20x + 12x = 32x 100 + 32x = 132 + -12x + 12x Combine like terms: -12x + 12x = 0 100 + 32x = 132 + 0 100 + 32x = 132 Add '-100' to each side of the equation. 100 + -100 + 32x = 132 + -100 Combine like terms: 100 + -100 = 0 0 + 32x = 132 + -100 32x = 132 + -100 Combine like terms: 132 + -100 = 32 32x = 32 Divide each side by '32'. x = 1 Simplifying x = 1
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