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Simplifying -4(2x + 7) + 3x = 17x + 1 Reorder the terms: -4(7 + 2x) + 3x = 17x + 1 (7 * -4 + 2x * -4) + 3x = 17x + 1 (-28 + -8x) + 3x = 17x + 1 Combine like terms: -8x + 3x = -5x -28 + -5x = 17x + 1 Reorder the terms: -28 + -5x = 1 + 17x Solving -28 + -5x = 1 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. -28 + -5x + -17x = 1 + 17x + -17x Combine like terms: -5x + -17x = -22x -28 + -22x = 1 + 17x + -17x Combine like terms: 17x + -17x = 0 -28 + -22x = 1 + 0 -28 + -22x = 1 Add '28' to each side of the equation. -28 + 28 + -22x = 1 + 28 Combine like terms: -28 + 28 = 0 0 + -22x = 1 + 28 -22x = 1 + 28 Combine like terms: 1 + 28 = 29 -22x = 29 Divide each side by '-22'. x = -1.318181818 Simplifying x = -1.318181818
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