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Simplifying 0.30(12) + 0.05x = 0.15(24 + x) Multiply 0.30 * 12 3.6 + 0.05x = 0.15(24 + x) 3.6 + 0.05x = (24 * 0.15 + x * 0.15) 3.6 + 0.05x = (3.6 + 0.15x) Add '-3.6' to each side of the equation. 3.6 + -3.6 + 0.05x = 3.6 + -3.6 + 0.15x Combine like terms: 3.6 + -3.6 = 0.0 0.0 + 0.05x = 3.6 + -3.6 + 0.15x 0.05x = 3.6 + -3.6 + 0.15x Combine like terms: 3.6 + -3.6 = 0.0 0.05x = 0.0 + 0.15x 0.05x = 0.15x Solving 0.05x = 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. 0.05x + -0.15x = 0.15x + -0.15x Combine like terms: 0.05x + -0.15x = -0.1x -0.1x = 0.15x + -0.15x Combine like terms: 0.15x + -0.15x = 0.00 -0.1x = 0.00 Divide each side by '-0.1'. x = 0.0 Simplifying x = 0.0
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