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Simplifying 17x + -11 = 4(4x + 3) + -1 Reorder the terms: -11 + 17x = 4(4x + 3) + -1 Reorder the terms: -11 + 17x = 4(3 + 4x) + -1 -11 + 17x = (3 * 4 + 4x * 4) + -1 -11 + 17x = (12 + 16x) + -1 Reorder the terms: -11 + 17x = 12 + -1 + 16x Combine like terms: 12 + -1 = 11 -11 + 17x = 11 + 16x Solving -11 + 17x = 11 + 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. -11 + 17x + -16x = 11 + 16x + -16x Combine like terms: 17x + -16x = 1x -11 + 1x = 11 + 16x + -16x Combine like terms: 16x + -16x = 0 -11 + 1x = 11 + 0 -11 + 1x = 11 Add '11' to each side of the equation. -11 + 11 + 1x = 11 + 11 Combine like terms: -11 + 11 = 0 0 + 1x = 11 + 11 1x = 11 + 11 Combine like terms: 11 + 11 = 22 1x = 22 Divide each side by '1'. x = 22 Simplifying x = 22
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