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Simplifying 8(4 + x) = 2x + 65 (4 * 8 + x * 8) = 2x + 65 (32 + 8x) = 2x + 65 Reorder the terms: 32 + 8x = 65 + 2x Solving 32 + 8x = 65 + 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. 32 + 8x + -2x = 65 + 2x + -2x Combine like terms: 8x + -2x = 6x 32 + 6x = 65 + 2x + -2x Combine like terms: 2x + -2x = 0 32 + 6x = 65 + 0 32 + 6x = 65 Add '-32' to each side of the equation. 32 + -32 + 6x = 65 + -32 Combine like terms: 32 + -32 = 0 0 + 6x = 65 + -32 6x = 65 + -32 Combine like terms: 65 + -32 = 33 6x = 33 Divide each side by '6'. x = 5.5 Simplifying x = 5.5
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