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Simplifying 8(x + 2) = 2(x + 32) Reorder the terms: 8(2 + x) = 2(x + 32) (2 * 8 + x * 8) = 2(x + 32) (16 + 8x) = 2(x + 32) Reorder the terms: 16 + 8x = 2(32 + x) 16 + 8x = (32 * 2 + x * 2) 16 + 8x = (64 + 2x) Solving 16 + 8x = 64 + 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. 16 + 8x + -2x = 64 + 2x + -2x Combine like terms: 8x + -2x = 6x 16 + 6x = 64 + 2x + -2x Combine like terms: 2x + -2x = 0 16 + 6x = 64 + 0 16 + 6x = 64 Add '-16' to each side of the equation. 16 + -16 + 6x = 64 + -16 Combine like terms: 16 + -16 = 0 0 + 6x = 64 + -16 6x = 64 + -16 Combine like terms: 64 + -16 = 48 6x = 48 Divide each side by '6'. x = 8 Simplifying x = 8
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