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Simplifying 0.3(12) + 0.05 = 0.15(36 + x) Multiply 0.3 * 12 3.6 + 0.05 = 0.15(36 + x) Combine like terms: 3.6 + 0.05 = 3.65 3.65 = 0.15(36 + x) 3.65 = (36 * 0.15 + x * 0.15) 3.65 = (5.4 + 0.15x) Solving 3.65 = 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. 3.65 + -0.15x = 5.4 + 0.15x + -0.15x Combine like terms: 0.15x + -0.15x = 0.00 3.65 + -0.15x = 5.4 + 0.00 3.65 + -0.15x = 5.4 Add '-3.65' to each side of the equation. 3.65 + -3.65 + -0.15x = 5.4 + -3.65 Combine like terms: 3.65 + -3.65 = 0.00 0.00 + -0.15x = 5.4 + -3.65 -0.15x = 5.4 + -3.65 Combine like terms: 5.4 + -3.65 = 1.75 -0.15x = 1.75 Divide each side by '-0.15'. x = -11.66666667 Simplifying x = -11.66666667
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