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Simplifying 0.54(6) + 0.06x = 0.18(30 + x) Multiply 0.54 * 6 3.24 + 0.06x = 0.18(30 + x) 3.24 + 0.06x = (30 * 0.18 + x * 0.18) 3.24 + 0.06x = (5.4 + 0.18x) Solving 3.24 + 0.06x = 5.4 + 0.18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.18x' to each side of the equation. 3.24 + 0.06x + -0.18x = 5.4 + 0.18x + -0.18x Combine like terms: 0.06x + -0.18x = -0.12x 3.24 + -0.12x = 5.4 + 0.18x + -0.18x Combine like terms: 0.18x + -0.18x = 0.00 3.24 + -0.12x = 5.4 + 0.00 3.24 + -0.12x = 5.4 Add '-3.24' to each side of the equation. 3.24 + -3.24 + -0.12x = 5.4 + -3.24 Combine like terms: 3.24 + -3.24 = 0.00 0.00 + -0.12x = 5.4 + -3.24 -0.12x = 5.4 + -3.24 Combine like terms: 5.4 + -3.24 = 2.16 -0.12x = 2.16 Divide each side by '-0.12'. x = -18 Simplifying x = -18
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