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Simplifying 0.27(18) + 0.03x = 0.09(12 + x) Multiply 0.27 * 18 4.86 + 0.03x = 0.09(12 + x) 4.86 + 0.03x = (12 * 0.09 + x * 0.09) 4.86 + 0.03x = (1.08 + 0.09x) Solving 4.86 + 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. 4.86 + 0.03x + -0.09x = 1.08 + 0.09x + -0.09x Combine like terms: 0.03x + -0.09x = -0.06x 4.86 + -0.06x = 1.08 + 0.09x + -0.09x Combine like terms: 0.09x + -0.09x = 0.00 4.86 + -0.06x = 1.08 + 0.00 4.86 + -0.06x = 1.08 Add '-4.86' to each side of the equation. 4.86 + -4.86 + -0.06x = 1.08 + -4.86 Combine like terms: 4.86 + -4.86 = 0.00 0.00 + -0.06x = 1.08 + -4.86 -0.06x = 1.08 + -4.86 Combine like terms: 1.08 + -4.86 = -3.78 -0.06x = -3.78 Divide each side by '-0.06'. x = 63 Simplifying x = 63
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