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Simplifying 30 = (3x + 5) + -1(10 + -2x) Reorder the terms: 30 = (5 + 3x) + -1(10 + -2x) Remove parenthesis around (5 + 3x) 30 = 5 + 3x + -1(10 + -2x) 30 = 5 + 3x + (10 * -1 + -2x * -1) 30 = 5 + 3x + (-10 + 2x) Reorder the terms: 30 = 5 + -10 + 3x + 2x Combine like terms: 5 + -10 = -5 30 = -5 + 3x + 2x Combine like terms: 3x + 2x = 5x 30 = -5 + 5x Solving 30 = -5 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 30 + -5x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 30 + -5x = -5 + 0 30 + -5x = -5 Add '-30' to each side of the equation. 30 + -30 + -5x = -5 + -30 Combine like terms: 30 + -30 = 0 0 + -5x = -5 + -30 -5x = -5 + -30 Combine like terms: -5 + -30 = -35 -5x = -35 Divide each side by '-5'. x = 7 Simplifying x = 7
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