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Simplifying -77 = 3(5 + -6x) + -8(1 + 3x) -77 = (5 * 3 + -6x * 3) + -8(1 + 3x) -77 = (15 + -18x) + -8(1 + 3x) -77 = 15 + -18x + (1 * -8 + 3x * -8) -77 = 15 + -18x + (-8 + -24x) Reorder the terms: -77 = 15 + -8 + -18x + -24x Combine like terms: 15 + -8 = 7 -77 = 7 + -18x + -24x Combine like terms: -18x + -24x = -42x -77 = 7 + -42x Solving -77 = 7 + -42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42x' to each side of the equation. -77 + 42x = 7 + -42x + 42x Combine like terms: -42x + 42x = 0 -77 + 42x = 7 + 0 -77 + 42x = 7 Add '77' to each side of the equation. -77 + 77 + 42x = 7 + 77 Combine like terms: -77 + 77 = 0 0 + 42x = 7 + 77 42x = 7 + 77 Combine like terms: 7 + 77 = 84 42x = 84 Divide each side by '42'. x = 2 Simplifying x = 2
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