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Simplifying 7(x + 16) + -5(x + -30) = 150 Reorder the terms: 7(16 + x) + -5(x + -30) = 150 (16 * 7 + x * 7) + -5(x + -30) = 150 (112 + 7x) + -5(x + -30) = 150 Reorder the terms: 112 + 7x + -5(-30 + x) = 150 112 + 7x + (-30 * -5 + x * -5) = 150 112 + 7x + (150 + -5x) = 150 Reorder the terms: 112 + 150 + 7x + -5x = 150 Combine like terms: 112 + 150 = 262 262 + 7x + -5x = 150 Combine like terms: 7x + -5x = 2x 262 + 2x = 150 Solving 262 + 2x = 150 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-262' to each side of the equation. 262 + -262 + 2x = 150 + -262 Combine like terms: 262 + -262 = 0 0 + 2x = 150 + -262 2x = 150 + -262 Combine like terms: 150 + -262 = -112 2x = -112 Divide each side by '2'. x = -56 Simplifying x = -56
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