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Simplifying 27x + 15 = 30x + -45 Reorder the terms: 15 + 27x = 30x + -45 Reorder the terms: 15 + 27x = -45 + 30x Solving 15 + 27x = -45 + 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. 15 + 27x + -30x = -45 + 30x + -30x Combine like terms: 27x + -30x = -3x 15 + -3x = -45 + 30x + -30x Combine like terms: 30x + -30x = 0 15 + -3x = -45 + 0 15 + -3x = -45 Add '-15' to each side of the equation. 15 + -15 + -3x = -45 + -15 Combine like terms: 15 + -15 = 0 0 + -3x = -45 + -15 -3x = -45 + -15 Combine like terms: -45 + -15 = -60 -3x = -60 Divide each side by '-3'. x = 20 Simplifying x = 20
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