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Simplifying 52 + 0.02x = 40 + 0.10x Solving 52 + 0.02x = 40 + 0.10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.10x' to each side of the equation. 52 + 0.02x + -0.10x = 40 + 0.10x + -0.10x Combine like terms: 0.02x + -0.10x = -0.08x 52 + -0.08x = 40 + 0.10x + -0.10x Combine like terms: 0.10x + -0.10x = 0.00 52 + -0.08x = 40 + 0.00 52 + -0.08x = 40 Add '-52' to each side of the equation. 52 + -52 + -0.08x = 40 + -52 Combine like terms: 52 + -52 = 0 0 + -0.08x = 40 + -52 -0.08x = 40 + -52 Combine like terms: 40 + -52 = -12 -0.08x = -12 Divide each side by '-0.08'. x = 150 Simplifying x = 150
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