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Simplifying 8(2 + x) = (x + 4) * 7 (2 * 8 + x * 8) = (x + 4) * 7 (16 + 8x) = (x + 4) * 7 Reorder the terms: 16 + 8x = (4 + x) * 7 Reorder the terms for easier multiplication: 16 + 8x = 7(4 + x) 16 + 8x = (4 * 7 + x * 7) 16 + 8x = (28 + 7x) Solving 16 + 8x = 28 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 16 + 8x + -7x = 28 + 7x + -7x Combine like terms: 8x + -7x = 1x 16 + 1x = 28 + 7x + -7x Combine like terms: 7x + -7x = 0 16 + 1x = 28 + 0 16 + 1x = 28 Add '-16' to each side of the equation. 16 + -16 + 1x = 28 + -16 Combine like terms: 16 + -16 = 0 0 + 1x = 28 + -16 1x = 28 + -16 Combine like terms: 28 + -16 = 12 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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