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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 = -38 -38 + 7x + -5x = 150 Combine like terms: 7x + -5x = 2x -38 + 2x = 150 Solving -38 + 2x = 150 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + 2x = 150 + 38 Combine like terms: -38 + 38 = 0 0 + 2x = 150 + 38 2x = 150 + 38 Combine like terms: 150 + 38 = 188 2x = 188 Divide each side by '2'. x = 94 Simplifying x = 94
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