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Simplifying 77 = -2x + 3(6x + -17) Reorder the terms: 77 = -2x + 3(-17 + 6x) 77 = -2x + (-17 * 3 + 6x * 3) 77 = -2x + (-51 + 18x) Reorder the terms: 77 = -51 + -2x + 18x Combine like terms: -2x + 18x = 16x 77 = -51 + 16x Solving 77 = -51 + 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. 77 + -16x = -51 + 16x + -16x Combine like terms: 16x + -16x = 0 77 + -16x = -51 + 0 77 + -16x = -51 Add '-77' to each side of the equation. 77 + -77 + -16x = -51 + -77 Combine like terms: 77 + -77 = 0 0 + -16x = -51 + -77 -16x = -51 + -77 Combine like terms: -51 + -77 = -128 -16x = -128 Divide each side by '-16'. x = 8 Simplifying x = 8
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