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Simplifying 3(3 + x) + -5 = -7(-2 + x) (3 * 3 + x * 3) + -5 = -7(-2 + x) (9 + 3x) + -5 = -7(-2 + x) Reorder the terms: 9 + -5 + 3x = -7(-2 + x) Combine like terms: 9 + -5 = 4 4 + 3x = -7(-2 + x) 4 + 3x = (-2 * -7 + x * -7) 4 + 3x = (14 + -7x) Solving 4 + 3x = 14 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 4 + 3x + 7x = 14 + -7x + 7x Combine like terms: 3x + 7x = 10x 4 + 10x = 14 + -7x + 7x Combine like terms: -7x + 7x = 0 4 + 10x = 14 + 0 4 + 10x = 14 Add '-4' to each side of the equation. 4 + -4 + 10x = 14 + -4 Combine like terms: 4 + -4 = 0 0 + 10x = 14 + -4 10x = 14 + -4 Combine like terms: 14 + -4 = 10 10x = 10 Divide each side by '10'. x = 1 Simplifying x = 1
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