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Simplifying 7.5x + 45 = 7.8x Reorder the terms: 45 + 7.5x = 7.8x Solving 45 + 7.5x = 7.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.8x' to each side of the equation. 45 + 7.5x + -7.8x = 7.8x + -7.8x Combine like terms: 7.5x + -7.8x = -0.3x 45 + -0.3x = 7.8x + -7.8x Combine like terms: 7.8x + -7.8x = 0.0 45 + -0.3x = 0.0 Add '-45' to each side of the equation. 45 + -45 + -0.3x = 0.0 + -45 Combine like terms: 45 + -45 = 0 0 + -0.3x = 0.0 + -45 -0.3x = 0.0 + -45 Combine like terms: 0.0 + -45 = -45 -0.3x = -45 Divide each side by '-0.3'. x = 150 Simplifying x = 150
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