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Simplifying 8(x + 2) = 33 + 7x Reorder the terms: 8(2 + x) = 33 + 7x (2 * 8 + x * 8) = 33 + 7x (16 + 8x) = 33 + 7x Solving 16 + 8x = 33 + 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 = 33 + 7x + -7x Combine like terms: 8x + -7x = 1x 16 + 1x = 33 + 7x + -7x Combine like terms: 7x + -7x = 0 16 + 1x = 33 + 0 16 + 1x = 33 Add '-16' to each side of the equation. 16 + -16 + 1x = 33 + -16 Combine like terms: 16 + -16 = 0 0 + 1x = 33 + -16 1x = 33 + -16 Combine like terms: 33 + -16 = 17 1x = 17 Divide each side by '1'. x = 17 Simplifying x = 17
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