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Simplifying 0.54(12) + 0.06x = 0.18(6 + x) Multiply 0.54 * 12 6.48 + 0.06x = 0.18(6 + x) 6.48 + 0.06x = (6 * 0.18 + x * 0.18) 6.48 + 0.06x = (1.08 + 0.18x) Solving 6.48 + 0.06x = 1.08 + 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. 6.48 + 0.06x + -0.18x = 1.08 + 0.18x + -0.18x Combine like terms: 0.06x + -0.18x = -0.12x 6.48 + -0.12x = 1.08 + 0.18x + -0.18x Combine like terms: 0.18x + -0.18x = 0.00 6.48 + -0.12x = 1.08 + 0.00 6.48 + -0.12x = 1.08 Add '-6.48' to each side of the equation. 6.48 + -6.48 + -0.12x = 1.08 + -6.48 Combine like terms: 6.48 + -6.48 = 0.00 0.00 + -0.12x = 1.08 + -6.48 -0.12x = 1.08 + -6.48 Combine like terms: 1.08 + -6.48 = -5.4 -0.12x = -5.4 Divide each side by '-0.12'. x = 45 Simplifying x = 45
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