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Simplifying 17x + -16 = 4(4x + 5) + -4 Reorder the terms: -16 + 17x = 4(4x + 5) + -4 Reorder the terms: -16 + 17x = 4(5 + 4x) + -4 -16 + 17x = (5 * 4 + 4x * 4) + -4 -16 + 17x = (20 + 16x) + -4 Reorder the terms: -16 + 17x = 20 + -4 + 16x Combine like terms: 20 + -4 = 16 -16 + 17x = 16 + 16x Solving -16 + 17x = 16 + 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. -16 + 17x + -16x = 16 + 16x + -16x Combine like terms: 17x + -16x = 1x -16 + 1x = 16 + 16x + -16x Combine like terms: 16x + -16x = 0 -16 + 1x = 16 + 0 -16 + 1x = 16 Add '16' to each side of the equation. -16 + 16 + 1x = 16 + 16 Combine like terms: -16 + 16 = 0 0 + 1x = 16 + 16 1x = 16 + 16 Combine like terms: 16 + 16 = 32 1x = 32 Divide each side by '1'. x = 32 Simplifying x = 32
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