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Simplifying 4(4x + 8) = 17x Reorder the terms: 4(8 + 4x) = 17x (8 * 4 + 4x * 4) = 17x (32 + 16x) = 17x Solving 32 + 16x = 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 32 + 16x + -17x = 17x + -17x Combine like terms: 16x + -17x = -1x 32 + -1x = 17x + -17x Combine like terms: 17x + -17x = 0 32 + -1x = 0 Add '-32' to each side of the equation. 32 + -32 + -1x = 0 + -32 Combine like terms: 32 + -32 = 0 0 + -1x = 0 + -32 -1x = 0 + -32 Combine like terms: 0 + -32 = -32 -1x = -32 Divide each side by '-1'. x = 32 Simplifying x = 32
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