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Simplifying 0.3x + 59.4 = 1.8x + -8.1 Reorder the terms: 59.4 + 0.3x = 1.8x + -8.1 Reorder the terms: 59.4 + 0.3x = -8.1 + 1.8x Solving 59.4 + 0.3x = -8.1 + 1.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.8x' to each side of the equation. 59.4 + 0.3x + -1.8x = -8.1 + 1.8x + -1.8x Combine like terms: 0.3x + -1.8x = -1.5x 59.4 + -1.5x = -8.1 + 1.8x + -1.8x Combine like terms: 1.8x + -1.8x = 0.0 59.4 + -1.5x = -8.1 + 0.0 59.4 + -1.5x = -8.1 Add '-59.4' to each side of the equation. 59.4 + -59.4 + -1.5x = -8.1 + -59.4 Combine like terms: 59.4 + -59.4 = 0.0 0.0 + -1.5x = -8.1 + -59.4 -1.5x = -8.1 + -59.4 Combine like terms: -8.1 + -59.4 = -67.5 -1.5x = -67.5 Divide each side by '-1.5'. x = 45 Simplifying x = 45
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