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Simplifying 0.36(12) + 0.06x = 0.18(30 + x) Multiply 0.36 * 12 4.32 + 0.06x = 0.18(30 + x) 4.32 + 0.06x = (30 * 0.18 + x * 0.18) 4.32 + 0.06x = (5.4 + 0.18x) Solving 4.32 + 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. 4.32 + 0.06x + -0.18x = 5.4 + 0.18x + -0.18x Combine like terms: 0.06x + -0.18x = -0.12x 4.32 + -0.12x = 5.4 + 0.18x + -0.18x Combine like terms: 0.18x + -0.18x = 0.00 4.32 + -0.12x = 5.4 + 0.00 4.32 + -0.12x = 5.4 Add '-4.32' to each side of the equation. 4.32 + -4.32 + -0.12x = 5.4 + -4.32 Combine like terms: 4.32 + -4.32 = 0.00 0.00 + -0.12x = 5.4 + -4.32 -0.12x = 5.4 + -4.32 Combine like terms: 5.4 + -4.32 = 1.08 -0.12x = 1.08 Divide each side by '-0.12'. x = -9 Simplifying x = -9
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