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Simplifying 0.7x + 150 = 0.8x + 70 Reorder the terms: 150 + 0.7x = 0.8x + 70 Reorder the terms: 150 + 0.7x = 70 + 0.8x Solving 150 + 0.7x = 70 + 0.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8x' to each side of the equation. 150 + 0.7x + -0.8x = 70 + 0.8x + -0.8x Combine like terms: 0.7x + -0.8x = -0.1x 150 + -0.1x = 70 + 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 150 + -0.1x = 70 + 0.0 150 + -0.1x = 70 Add '-150' to each side of the equation. 150 + -150 + -0.1x = 70 + -150 Combine like terms: 150 + -150 = 0 0 + -0.1x = 70 + -150 -0.1x = 70 + -150 Combine like terms: 70 + -150 = -80 -0.1x = -80 Divide each side by '-0.1'. x = 800 Simplifying x = 800
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