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Simplifying 77 = (6x + -4) + (10x + 1) Reorder the terms: 77 = (-4 + 6x) + (10x + 1) Remove parenthesis around (-4 + 6x) 77 = -4 + 6x + (10x + 1) Reorder the terms: 77 = -4 + 6x + (1 + 10x) Remove parenthesis around (1 + 10x) 77 = -4 + 6x + 1 + 10x Reorder the terms: 77 = -4 + 1 + 6x + 10x Combine like terms: -4 + 1 = -3 77 = -3 + 6x + 10x Combine like terms: 6x + 10x = 16x 77 = -3 + 16x Solving 77 = -3 + 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 = -3 + 16x + -16x Combine like terms: 16x + -16x = 0 77 + -16x = -3 + 0 77 + -16x = -3 Add '-77' to each side of the equation. 77 + -77 + -16x = -3 + -77 Combine like terms: 77 + -77 = 0 0 + -16x = -3 + -77 -16x = -3 + -77 Combine like terms: -3 + -77 = -80 -16x = -80 Divide each side by '-16'. x = 5 Simplifying x = 5
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