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Simplifying 30 + 0.23x = 42 + 0.15x Solving 30 + 0.23x = 42 + 0.15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.15x' to each side of the equation. 30 + 0.23x + -0.15x = 42 + 0.15x + -0.15x Combine like terms: 0.23x + -0.15x = 0.08x 30 + 0.08x = 42 + 0.15x + -0.15x Combine like terms: 0.15x + -0.15x = 0.00 30 + 0.08x = 42 + 0.00 30 + 0.08x = 42 Add '-30' to each side of the equation. 30 + -30 + 0.08x = 42 + -30 Combine like terms: 30 + -30 = 0 0 + 0.08x = 42 + -30 0.08x = 42 + -30 Combine like terms: 42 + -30 = 12 0.08x = 12 Divide each side by '0.08'. x = 150 Simplifying x = 150
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