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Simplifying 5(x + 7) + -35 = -2(x + -5) + 11 Reorder the terms: 5(7 + x) + -35 = -2(x + -5) + 11 (7 * 5 + x * 5) + -35 = -2(x + -5) + 11 (35 + 5x) + -35 = -2(x + -5) + 11 Reorder the terms: 35 + -35 + 5x = -2(x + -5) + 11 Combine like terms: 35 + -35 = 0 0 + 5x = -2(x + -5) + 11 5x = -2(x + -5) + 11 Reorder the terms: 5x = -2(-5 + x) + 11 5x = (-5 * -2 + x * -2) + 11 5x = (10 + -2x) + 11 Reorder the terms: 5x = 10 + 11 + -2x Combine like terms: 10 + 11 = 21 5x = 21 + -2x Solving 5x = 21 + -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. 5x + 2x = 21 + -2x + 2x Combine like terms: 5x + 2x = 7x 7x = 21 + -2x + 2x Combine like terms: -2x + 2x = 0 7x = 21 + 0 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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