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Simplifying 17x + -3 = 4(4x + 5) + -17 Reorder the terms: -3 + 17x = 4(4x + 5) + -17 Reorder the terms: -3 + 17x = 4(5 + 4x) + -17 -3 + 17x = (5 * 4 + 4x * 4) + -17 -3 + 17x = (20 + 16x) + -17 Reorder the terms: -3 + 17x = 20 + -17 + 16x Combine like terms: 20 + -17 = 3 -3 + 17x = 3 + 16x Solving -3 + 17x = 3 + 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. -3 + 17x + -16x = 3 + 16x + -16x Combine like terms: 17x + -16x = 1x -3 + 1x = 3 + 16x + -16x Combine like terms: 16x + -16x = 0 -3 + 1x = 3 + 0 -3 + 1x = 3 Add '3' to each side of the equation. -3 + 3 + 1x = 3 + 3 Combine like terms: -3 + 3 = 0 0 + 1x = 3 + 3 1x = 3 + 3 Combine like terms: 3 + 3 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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