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Simplifying 0.07x + 160 = 152 + 0.08x Reorder the terms: 160 + 0.07x = 152 + 0.08x Solving 160 + 0.07x = 152 + 0.08x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.08x' to each side of the equation. 160 + 0.07x + -0.08x = 152 + 0.08x + -0.08x Combine like terms: 0.07x + -0.08x = -0.01x 160 + -0.01x = 152 + 0.08x + -0.08x Combine like terms: 0.08x + -0.08x = 0.00 160 + -0.01x = 152 + 0.00 160 + -0.01x = 152 Add '-160' to each side of the equation. 160 + -160 + -0.01x = 152 + -160 Combine like terms: 160 + -160 = 0 0 + -0.01x = 152 + -160 -0.01x = 152 + -160 Combine like terms: 152 + -160 = -8 -0.01x = -8 Divide each side by '-0.01'. x = 800 Simplifying x = 800
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