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Simplifying 17x + -1 = 4(4x + 2) + -7 Reorder the terms: -1 + 17x = 4(4x + 2) + -7 Reorder the terms: -1 + 17x = 4(2 + 4x) + -7 -1 + 17x = (2 * 4 + 4x * 4) + -7 -1 + 17x = (8 + 16x) + -7 Reorder the terms: -1 + 17x = 8 + -7 + 16x Combine like terms: 8 + -7 = 1 -1 + 17x = 1 + 16x Solving -1 + 17x = 1 + 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. -1 + 17x + -16x = 1 + 16x + -16x Combine like terms: 17x + -16x = 1x -1 + 1x = 1 + 16x + -16x Combine like terms: 16x + -16x = 0 -1 + 1x = 1 + 0 -1 + 1x = 1 Add '1' to each side of the equation. -1 + 1 + 1x = 1 + 1 Combine like terms: -1 + 1 = 0 0 + 1x = 1 + 1 1x = 1 + 1 Combine like terms: 1 + 1 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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