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Simplifying 52 + 0.2x = 40 + 0.10x Solving 52 + 0.2x = 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 + 0.2x + -0.10x = 40 + 0.10x + -0.10x Combine like terms: 0.2x + -0.10x = 0.1x 52 + 0.1x = 40 + 0.10x + -0.10x Combine like terms: 0.10x + -0.10x = 0.00 52 + 0.1x = 40 + 0.00 52 + 0.1x = 40 Add '-52' to each side of the equation. 52 + -52 + 0.1x = 40 + -52 Combine like terms: 52 + -52 = 0 0 + 0.1x = 40 + -52 0.1x = 40 + -52 Combine like terms: 40 + -52 = -12 0.1x = -12 Divide each side by '0.1'. x = -120 Simplifying x = -120
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