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Simplifying 0.3(6) + 0.05x = 0.15(30 + x) Multiply 0.3 * 6 1.8 + 0.05x = 0.15(30 + x) 1.8 + 0.05x = (30 * 0.15 + x * 0.15) 1.8 + 0.05x = (4.5 + 0.15x) Solving 1.8 + 0.05x = 4.5 + 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. 1.8 + 0.05x + -0.15x = 4.5 + 0.15x + -0.15x Combine like terms: 0.05x + -0.15x = -0.1x 1.8 + -0.1x = 4.5 + 0.15x + -0.15x Combine like terms: 0.15x + -0.15x = 0.00 1.8 + -0.1x = 4.5 + 0.00 1.8 + -0.1x = 4.5 Add '-1.8' to each side of the equation. 1.8 + -1.8 + -0.1x = 4.5 + -1.8 Combine like terms: 1.8 + -1.8 = 0.0 0.0 + -0.1x = 4.5 + -1.8 -0.1x = 4.5 + -1.8 Combine like terms: 4.5 + -1.8 = 2.7 -0.1x = 2.7 Divide each side by '-0.1'. x = -27 Simplifying x = -27
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