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Simplifying 10(3 + x) = 8(2 + x) (3 * 10 + x * 10) = 8(2 + x) (30 + 10x) = 8(2 + x) 30 + 10x = (2 * 8 + x * 8) 30 + 10x = (16 + 8x) Solving 30 + 10x = 16 + 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. 30 + 10x + -8x = 16 + 8x + -8x Combine like terms: 10x + -8x = 2x 30 + 2x = 16 + 8x + -8x Combine like terms: 8x + -8x = 0 30 + 2x = 16 + 0 30 + 2x = 16 Add '-30' to each side of the equation. 30 + -30 + 2x = 16 + -30 Combine like terms: 30 + -30 = 0 0 + 2x = 16 + -30 2x = 16 + -30 Combine like terms: 16 + -30 = -14 2x = -14 Divide each side by '2'. x = -7 Simplifying x = -7
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