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Simplifying 6(x + -1) + -3(x + 7) + -1 = 17x Reorder the terms: 6(-1 + x) + -3(x + 7) + -1 = 17x (-1 * 6 + x * 6) + -3(x + 7) + -1 = 17x (-6 + 6x) + -3(x + 7) + -1 = 17x Reorder the terms: -6 + 6x + -3(7 + x) + -1 = 17x -6 + 6x + (7 * -3 + x * -3) + -1 = 17x -6 + 6x + (-21 + -3x) + -1 = 17x Reorder the terms: -6 + -21 + -1 + 6x + -3x = 17x Combine like terms: -6 + -21 = -27 -27 + -1 + 6x + -3x = 17x Combine like terms: -27 + -1 = -28 -28 + 6x + -3x = 17x Combine like terms: 6x + -3x = 3x -28 + 3x = 17x Solving -28 + 3x = 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 + 3x + -17x = 17x + -17x Combine like terms: 3x + -17x = -14x -28 + -14x = 17x + -17x Combine like terms: 17x + -17x = 0 -28 + -14x = 0 Add '28' to each side of the equation. -28 + 28 + -14x = 0 + 28 Combine like terms: -28 + 28 = 0 0 + -14x = 0 + 28 -14x = 0 + 28 Combine like terms: 0 + 28 = 28 -14x = 28 Divide each side by '-14'. x = -2 Simplifying x = -2
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