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Simplifying 0.27(6) + 0.03x = 0.09(18 + x) Multiply 0.27 * 6 1.62 + 0.03x = 0.09(18 + x) 1.62 + 0.03x = (18 * 0.09 + x * 0.09) 1.62 + 0.03x = (1.62 + 0.09x) Add '-1.62' to each side of the equation. 1.62 + -1.62 + 0.03x = 1.62 + -1.62 + 0.09x Combine like terms: 1.62 + -1.62 = 0.00 0.00 + 0.03x = 1.62 + -1.62 + 0.09x 0.03x = 1.62 + -1.62 + 0.09x Combine like terms: 1.62 + -1.62 = 0.00 0.03x = 0.00 + 0.09x 0.03x = 0.09x Solving 0.03x = 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. 0.03x + -0.09x = 0.09x + -0.09x Combine like terms: 0.03x + -0.09x = -0.06x -0.06x = 0.09x + -0.09x Combine like terms: 0.09x + -0.09x = 0.00 -0.06x = 0.00 Divide each side by '-0.06'. x = 0 Simplifying x = 0
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