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Simplifying 0.27(6) + 0.03x = 0.09(12 + x) Multiply 0.27 * 6 1.62 + 0.03x = 0.09(12 + x) 1.62 + 0.03x = (12 * 0.09 + x * 0.09) 1.62 + 0.03x = (1.08 + 0.09x) Solving 1.62 + 0.03x = 1.08 + 0.09x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.09x' to each side of the equation. 1.62 + 0.03x + -0.09x = 1.08 + 0.09x + -0.09x Combine like terms: 0.03x + -0.09x = -0.06x 1.62 + -0.06x = 1.08 + 0.09x + -0.09x Combine like terms: 0.09x + -0.09x = 0.00 1.62 + -0.06x = 1.08 + 0.00 1.62 + -0.06x = 1.08 Add '-1.62' to each side of the equation. 1.62 + -1.62 + -0.06x = 1.08 + -1.62 Combine like terms: 1.62 + -1.62 = 0.00 0.00 + -0.06x = 1.08 + -1.62 -0.06x = 1.08 + -1.62 Combine like terms: 1.08 + -1.62 = -0.54 -0.06x = -0.54 Divide each side by '-0.06'. x = 9 Simplifying x = 9
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