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Simplifying 5(x + 7) = 2 + -2(2x + -4) Reorder the terms: 5(7 + x) = 2 + -2(2x + -4) (7 * 5 + x * 5) = 2 + -2(2x + -4) (35 + 5x) = 2 + -2(2x + -4) Reorder the terms: 35 + 5x = 2 + -2(-4 + 2x) 35 + 5x = 2 + (-4 * -2 + 2x * -2) 35 + 5x = 2 + (8 + -4x) Combine like terms: 2 + 8 = 10 35 + 5x = 10 + -4x Solving 35 + 5x = 10 + -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. 35 + 5x + 4x = 10 + -4x + 4x Combine like terms: 5x + 4x = 9x 35 + 9x = 10 + -4x + 4x Combine like terms: -4x + 4x = 0 35 + 9x = 10 + 0 35 + 9x = 10 Add '-35' to each side of the equation. 35 + -35 + 9x = 10 + -35 Combine like terms: 35 + -35 = 0 0 + 9x = 10 + -35 9x = 10 + -35 Combine like terms: 10 + -35 = -25 9x = -25 Divide each side by '9'. x = -2.777777778 Simplifying x = -2.777777778
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