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Simplifying 0.3(6) + 0.05x = 0.15(36 + x) Multiply 0.3 * 6 1.8 + 0.05x = 0.15(36 + x) 1.8 + 0.05x = (36 * 0.15 + x * 0.15) 1.8 + 0.05x = (5.4 + 0.15x) Solving 1.8 + 0.05x = 5.4 + 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 = 5.4 + 0.15x + -0.15x Combine like terms: 0.05x + -0.15x = -0.1x 1.8 + -0.1x = 5.4 + 0.15x + -0.15x Combine like terms: 0.15x + -0.15x = 0.00 1.8 + -0.1x = 5.4 + 0.00 1.8 + -0.1x = 5.4 Add '-1.8' to each side of the equation. 1.8 + -1.8 + -0.1x = 5.4 + -1.8 Combine like terms: 1.8 + -1.8 = 0.0 0.0 + -0.1x = 5.4 + -1.8 -0.1x = 5.4 + -1.8 Combine like terms: 5.4 + -1.8 = 3.6 -0.1x = 3.6 Divide each side by '-0.1'. x = -36 Simplifying x = -36
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