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Simplifying 8(30 + 2) = (8x) + (8 + 2) Combine like terms: 30 + 2 = 32 8(32) = (8x) + (8 + 2) Multiply 8 * 32 256 = (8x) + (8 + 2) Combine like terms: 8 + 2 = 10 256 = (8x) + (10) 256 = (8x) + 10 Reorder the terms: 256 = 10 + (8x) Solving 256 = 10 + (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. 256 + (-8x) = 10 + (8x) + (-8x) Combine like terms: (8x) + (-8x) = 0 256 + (-8x) = 10 + 0 256 + (-8x) = 10 Add '-256' to each side of the equation. 256 + -256 + (-8x) = 10 + -256 Combine like terms: 256 + -256 = 0 0 + (-8x) = 10 + -256 (-8x) = 10 + -256 Combine like terms: 10 + -256 = -246 (-8x) = -246 Divide each side by '-8'. x = 30.75 Simplifying x = 30.75
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