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Simplifying 78 = (17x + 16) + -1(7x + -2) Reorder the terms: 78 = (16 + 17x) + -1(7x + -2) Remove parenthesis around (16 + 17x) 78 = 16 + 17x + -1(7x + -2) Reorder the terms: 78 = 16 + 17x + -1(-2 + 7x) 78 = 16 + 17x + (-2 * -1 + 7x * -1) 78 = 16 + 17x + (2 + -7x) Reorder the terms: 78 = 16 + 2 + 17x + -7x Combine like terms: 16 + 2 = 18 78 = 18 + 17x + -7x Combine like terms: 17x + -7x = 10x 78 = 18 + 10x Solving 78 = 18 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 78 + -10x = 18 + 10x + -10x Combine like terms: 10x + -10x = 0 78 + -10x = 18 + 0 78 + -10x = 18 Add '-78' to each side of the equation. 78 + -78 + -10x = 18 + -78 Combine like terms: 78 + -78 = 0 0 + -10x = 18 + -78 -10x = 18 + -78 Combine like terms: 18 + -78 = -60 -10x = -60 Divide each side by '-10'. x = 6 Simplifying x = 6
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