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Simplifying 17x + -14 = 4(4x + 4) + -2 Reorder the terms: -14 + 17x = 4(4x + 4) + -2 Reorder the terms: -14 + 17x = 4(4 + 4x) + -2 -14 + 17x = (4 * 4 + 4x * 4) + -2 -14 + 17x = (16 + 16x) + -2 Reorder the terms: -14 + 17x = 16 + -2 + 16x Combine like terms: 16 + -2 = 14 -14 + 17x = 14 + 16x Solving -14 + 17x = 14 + 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. -14 + 17x + -16x = 14 + 16x + -16x Combine like terms: 17x + -16x = 1x -14 + 1x = 14 + 16x + -16x Combine like terms: 16x + -16x = 0 -14 + 1x = 14 + 0 -14 + 1x = 14 Add '14' to each side of the equation. -14 + 14 + 1x = 14 + 14 Combine like terms: -14 + 14 = 0 0 + 1x = 14 + 14 1x = 14 + 14 Combine like terms: 14 + 14 = 28 1x = 28 Divide each side by '1'. x = 28 Simplifying x = 28
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