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Simplifying 5x = 100 + 3(x + -30) Reorder the terms: 5x = 100 + 3(-30 + x) 5x = 100 + (-30 * 3 + x * 3) 5x = 100 + (-90 + 3x) Combine like terms: 100 + -90 = 10 5x = 10 + 3x Solving 5x = 10 + 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. 5x + -3x = 10 + 3x + -3x Combine like terms: 5x + -3x = 2x 2x = 10 + 3x + -3x Combine like terms: 3x + -3x = 0 2x = 10 + 0 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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