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Simplifying 17x + 7 = 4(4x + 8) Reorder the terms: 7 + 17x = 4(4x + 8) Reorder the terms: 7 + 17x = 4(8 + 4x) 7 + 17x = (8 * 4 + 4x * 4) 7 + 17x = (32 + 16x) Solving 7 + 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. 7 + 17x + -16x = 32 + 16x + -16x Combine like terms: 17x + -16x = 1x 7 + 1x = 32 + 16x + -16x Combine like terms: 16x + -16x = 0 7 + 1x = 32 + 0 7 + 1x = 32 Add '-7' to each side of the equation. 7 + -7 + 1x = 32 + -7 Combine like terms: 7 + -7 = 0 0 + 1x = 32 + -7 1x = 32 + -7 Combine like terms: 32 + -7 = 25 1x = 25 Divide each side by '1'. x = 25 Simplifying x = 25
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