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Simplifying 5x + 17(2 + 3x) = 16(1 + 4x) 5x + (2 * 17 + 3x * 17) = 16(1 + 4x) 5x + (34 + 51x) = 16(1 + 4x) Reorder the terms: 34 + 5x + 51x = 16(1 + 4x) Combine like terms: 5x + 51x = 56x 34 + 56x = 16(1 + 4x) 34 + 56x = (1 * 16 + 4x * 16) 34 + 56x = (16 + 64x) Solving 34 + 56x = 16 + 64x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-64x' to each side of the equation. 34 + 56x + -64x = 16 + 64x + -64x Combine like terms: 56x + -64x = -8x 34 + -8x = 16 + 64x + -64x Combine like terms: 64x + -64x = 0 34 + -8x = 16 + 0 34 + -8x = 16 Add '-34' to each side of the equation. 34 + -34 + -8x = 16 + -34 Combine like terms: 34 + -34 = 0 0 + -8x = 16 + -34 -8x = 16 + -34 Combine like terms: 16 + -34 = -18 -8x = -18 Divide each side by '-8'. x = 2.25 Simplifying x = 2.25
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