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Simplifying 5(x + 7) + -35 = -2(x + -3) + 57 Reorder the terms: 5(7 + x) + -35 = -2(x + -3) + 57 (7 * 5 + x * 5) + -35 = -2(x + -3) + 57 (35 + 5x) + -35 = -2(x + -3) + 57 Reorder the terms: 35 + -35 + 5x = -2(x + -3) + 57 Combine like terms: 35 + -35 = 0 0 + 5x = -2(x + -3) + 57 5x = -2(x + -3) + 57 Reorder the terms: 5x = -2(-3 + x) + 57 5x = (-3 * -2 + x * -2) + 57 5x = (6 + -2x) + 57 Reorder the terms: 5x = 6 + 57 + -2x Combine like terms: 6 + 57 = 63 5x = 63 + -2x Solving 5x = 63 + -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 = 63 + -2x + 2x Combine like terms: 5x + 2x = 7x 7x = 63 + -2x + 2x Combine like terms: -2x + 2x = 0 7x = 63 + 0 7x = 63 Divide each side by '7'. x = 9 Simplifying x = 9
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