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Simplifying -77 = 7x + 7(-4x + 10) Reorder the terms: -77 = 7x + 7(10 + -4x) -77 = 7x + (10 * 7 + -4x * 7) -77 = 7x + (70 + -28x) Reorder the terms: -77 = 70 + 7x + -28x Combine like terms: 7x + -28x = -21x -77 = 70 + -21x Solving -77 = 70 + -21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21x' to each side of the equation. -77 + 21x = 70 + -21x + 21x Combine like terms: -21x + 21x = 0 -77 + 21x = 70 + 0 -77 + 21x = 70 Add '77' to each side of the equation. -77 + 77 + 21x = 70 + 77 Combine like terms: -77 + 77 = 0 0 + 21x = 70 + 77 21x = 70 + 77 Combine like terms: 70 + 77 = 147 21x = 147 Divide each side by '21'. x = 7 Simplifying x = 7
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