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Simplifying -51 = 3(8 + 8x) + -7(1 + x) -51 = (8 * 3 + 8x * 3) + -7(1 + x) -51 = (24 + 24x) + -7(1 + x) -51 = 24 + 24x + (1 * -7 + x * -7) -51 = 24 + 24x + (-7 + -7x) Reorder the terms: -51 = 24 + -7 + 24x + -7x Combine like terms: 24 + -7 = 17 -51 = 17 + 24x + -7x Combine like terms: 24x + -7x = 17x -51 = 17 + 17x Solving -51 = 17 + 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. -51 + -17x = 17 + 17x + -17x Combine like terms: 17x + -17x = 0 -51 + -17x = 17 + 0 -51 + -17x = 17 Add '51' to each side of the equation. -51 + 51 + -17x = 17 + 51 Combine like terms: -51 + 51 = 0 0 + -17x = 17 + 51 -17x = 17 + 51 Combine like terms: 17 + 51 = 68 -17x = 68 Divide each side by '-17'. x = -4 Simplifying x = -4
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