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Simplifying 17x + 14 = 4(4x + 8) Reorder the terms: 14 + 17x = 4(4x + 8) Reorder the terms: 14 + 17x = 4(8 + 4x) 14 + 17x = (8 * 4 + 4x * 4) 14 + 17x = (32 + 16x) Solving 14 + 17x = 32 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 14 + 17x + -16x = 32 + 16x + -16x Combine like terms: 17x + -16x = 1x 14 + 1x = 32 + 16x + -16x Combine like terms: 16x + -16x = 0 14 + 1x = 32 + 0 14 + 1x = 32 Add '-14' to each side of the equation. 14 + -14 + 1x = 32 + -14 Combine like terms: 14 + -14 = 0 0 + 1x = 32 + -14 1x = 32 + -14 Combine like terms: 32 + -14 = 18 1x = 18 Divide each side by '1'. x = 18 Simplifying x = 18
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