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Simplifying 17x + -8 = 4(4x + 5) + -12 Reorder the terms: -8 + 17x = 4(4x + 5) + -12 Reorder the terms: -8 + 17x = 4(5 + 4x) + -12 -8 + 17x = (5 * 4 + 4x * 4) + -12 -8 + 17x = (20 + 16x) + -12 Reorder the terms: -8 + 17x = 20 + -12 + 16x Combine like terms: 20 + -12 = 8 -8 + 17x = 8 + 16x Solving -8 + 17x = 8 + 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. -8 + 17x + -16x = 8 + 16x + -16x Combine like terms: 17x + -16x = 1x -8 + 1x = 8 + 16x + -16x Combine like terms: 16x + -16x = 0 -8 + 1x = 8 + 0 -8 + 1x = 8 Add '8' to each side of the equation. -8 + 8 + 1x = 8 + 8 Combine like terms: -8 + 8 = 0 0 + 1x = 8 + 8 1x = 8 + 8 Combine like terms: 8 + 8 = 16 1x = 16 Divide each side by '1'. x = 16 Simplifying x = 16
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