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Simplifying 5(x + 6) + -3x = 45 Reorder the terms: 5(6 + x) + -3x = 45 (6 * 5 + x * 5) + -3x = 45 (30 + 5x) + -3x = 45 Combine like terms: 5x + -3x = 2x 30 + 2x = 45 Solving 30 + 2x = 45 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 2x = 45 + -30 Combine like terms: 30 + -30 = 0 0 + 2x = 45 + -30 2x = 45 + -30 Combine like terms: 45 + -30 = 15 2x = 15 Divide each side by '2'. x = 7.5 Simplifying x = 7.5
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