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Simplifying 6x + 3(5 + -1x) = (4.50)(5) 6x + (5 * 3 + -1x * 3) = (4.50)(5) 6x + (15 + -3x) = (4.50)(5) Reorder the terms: 15 + 6x + -3x = (4.50)(5) Combine like terms: 6x + -3x = 3x 15 + 3x = (4.50)(5) Multiply 4.50 * 5 15 + 3x = 22.5 Solving 15 + 3x = 22.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 3x = 22.5 + -15 Combine like terms: 15 + -15 = 0 0 + 3x = 22.5 + -15 3x = 22.5 + -15 Combine like terms: 22.5 + -15 = 7.5 3x = 7.5 Divide each side by '3'. x = 2.5 Simplifying x = 2.5
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