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Simplifying -2x + -17(x + 3) = 3(6x + 8) Reorder the terms: -2x + -17(3 + x) = 3(6x + 8) -2x + (3 * -17 + x * -17) = 3(6x + 8) -2x + (-51 + -17x) = 3(6x + 8) Reorder the terms: -51 + -2x + -17x = 3(6x + 8) Combine like terms: -2x + -17x = -19x -51 + -19x = 3(6x + 8) Reorder the terms: -51 + -19x = 3(8 + 6x) -51 + -19x = (8 * 3 + 6x * 3) -51 + -19x = (24 + 18x) Solving -51 + -19x = 24 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -51 + -19x + -18x = 24 + 18x + -18x Combine like terms: -19x + -18x = -37x -51 + -37x = 24 + 18x + -18x Combine like terms: 18x + -18x = 0 -51 + -37x = 24 + 0 -51 + -37x = 24 Add '51' to each side of the equation. -51 + 51 + -37x = 24 + 51 Combine like terms: -51 + 51 = 0 0 + -37x = 24 + 51 -37x = 24 + 51 Combine like terms: 24 + 51 = 75 -37x = 75 Divide each side by '-37'. x = -2.027027027 Simplifying x = -2.027027027
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