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Simplifying 45x + 30 = 30(1 + -1x) + 60 Reorder the terms: 30 + 45x = 30(1 + -1x) + 60 30 + 45x = (1 * 30 + -1x * 30) + 60 30 + 45x = (30 + -30x) + 60 Reorder the terms: 30 + 45x = 30 + 60 + -30x Combine like terms: 30 + 60 = 90 30 + 45x = 90 + -30x Solving 30 + 45x = 90 + -30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30x' to each side of the equation. 30 + 45x + 30x = 90 + -30x + 30x Combine like terms: 45x + 30x = 75x 30 + 75x = 90 + -30x + 30x Combine like terms: -30x + 30x = 0 30 + 75x = 90 + 0 30 + 75x = 90 Add '-30' to each side of the equation. 30 + -30 + 75x = 90 + -30 Combine like terms: 30 + -30 = 0 0 + 75x = 90 + -30 75x = 90 + -30 Combine like terms: 90 + -30 = 60 75x = 60 Divide each side by '75'. x = 0.8 Simplifying x = 0.8
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