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Simplifying 5(10 + x) = -2(7 + x) (10 * 5 + x * 5) = -2(7 + x) (50 + 5x) = -2(7 + x) 50 + 5x = (7 * -2 + x * -2) 50 + 5x = (-14 + -2x) Solving 50 + 5x = -14 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 50 + 5x + 2x = -14 + -2x + 2x Combine like terms: 5x + 2x = 7x 50 + 7x = -14 + -2x + 2x Combine like terms: -2x + 2x = 0 50 + 7x = -14 + 0 50 + 7x = -14 Add '-50' to each side of the equation. 50 + -50 + 7x = -14 + -50 Combine like terms: 50 + -50 = 0 0 + 7x = -14 + -50 7x = -14 + -50 Combine like terms: -14 + -50 = -64 7x = -64 Divide each side by '7'. x = -9.142857143 Simplifying x = -9.142857143
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