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Simplifying 2(x + -5) = 9 + -3x + 6 + 8 + 3x + 7 Reorder the terms: 2(-5 + x) = 9 + -3x + 6 + 8 + 3x + 7 (-5 * 2 + x * 2) = 9 + -3x + 6 + 8 + 3x + 7 (-10 + 2x) = 9 + -3x + 6 + 8 + 3x + 7 Reorder the terms: -10 + 2x = 9 + 6 + 8 + 7 + -3x + 3x Combine like terms: 9 + 6 = 15 -10 + 2x = 15 + 8 + 7 + -3x + 3x Combine like terms: 15 + 8 = 23 -10 + 2x = 23 + 7 + -3x + 3x Combine like terms: 23 + 7 = 30 -10 + 2x = 30 + -3x + 3x Combine like terms: -3x + 3x = 0 -10 + 2x = 30 + 0 -10 + 2x = 30 Solving -10 + 2x = 30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 2x = 30 + 10 Combine like terms: -10 + 10 = 0 0 + 2x = 30 + 10 2x = 30 + 10 Combine like terms: 30 + 10 = 40 2x = 40 Divide each side by '2'. x = 20 Simplifying x = 20
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