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Simplifying -5(7x + -3) + -10 = 2(x + x) + 77 Reorder the terms: -5(-3 + 7x) + -10 = 2(x + x) + 77 (-3 * -5 + 7x * -5) + -10 = 2(x + x) + 77 (15 + -35x) + -10 = 2(x + x) + 77 Reorder the terms: 15 + -10 + -35x = 2(x + x) + 77 Combine like terms: 15 + -10 = 5 5 + -35x = 2(x + x) + 77 Combine like terms: x + x = 2x 5 + -35x = 2(2x) + 77 Remove parenthesis around (2x) 5 + -35x = 2 * 2x + 77 Multiply 2 * 2 5 + -35x = 4x + 77 Reorder the terms: 5 + -35x = 77 + 4x Solving 5 + -35x = 77 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 5 + -35x + -4x = 77 + 4x + -4x Combine like terms: -35x + -4x = -39x 5 + -39x = 77 + 4x + -4x Combine like terms: 4x + -4x = 0 5 + -39x = 77 + 0 5 + -39x = 77 Add '-5' to each side of the equation. 5 + -5 + -39x = 77 + -5 Combine like terms: 5 + -5 = 0 0 + -39x = 77 + -5 -39x = 77 + -5 Combine like terms: 77 + -5 = 72 -39x = 72 Divide each side by '-39'. x = -1.846153846 Simplifying x = -1.846153846
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