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Simplifying -2x + 35 = 3(x + 3) + -9 Reorder the terms: 35 + -2x = 3(x + 3) + -9 Reorder the terms: 35 + -2x = 3(3 + x) + -9 35 + -2x = (3 * 3 + x * 3) + -9 35 + -2x = (9 + 3x) + -9 Reorder the terms: 35 + -2x = 9 + -9 + 3x Combine like terms: 9 + -9 = 0 35 + -2x = 0 + 3x 35 + -2x = 3x Solving 35 + -2x = 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 35 + -2x + -3x = 3x + -3x Combine like terms: -2x + -3x = -5x 35 + -5x = 3x + -3x Combine like terms: 3x + -3x = 0 35 + -5x = 0 Add '-35' to each side of the equation. 35 + -35 + -5x = 0 + -35 Combine like terms: 35 + -35 = 0 0 + -5x = 0 + -35 -5x = 0 + -35 Combine like terms: 0 + -35 = -35 -5x = -35 Divide each side by '-5'. x = 7 Simplifying x = 7
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