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Simplifying 0.18(6) + 0.02x = 0.06(24 + x) Multiply 0.18 * 6 1.08 + 0.02x = 0.06(24 + x) 1.08 + 0.02x = (24 * 0.06 + x * 0.06) 1.08 + 0.02x = (1.44 + 0.06x) Solving 1.08 + 0.02x = 1.44 + 0.06x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.06x' to each side of the equation. 1.08 + 0.02x + -0.06x = 1.44 + 0.06x + -0.06x Combine like terms: 0.02x + -0.06x = -0.04x 1.08 + -0.04x = 1.44 + 0.06x + -0.06x Combine like terms: 0.06x + -0.06x = 0.00 1.08 + -0.04x = 1.44 + 0.00 1.08 + -0.04x = 1.44 Add '-1.08' to each side of the equation. 1.08 + -1.08 + -0.04x = 1.44 + -1.08 Combine like terms: 1.08 + -1.08 = 0.00 0.00 + -0.04x = 1.44 + -1.08 -0.04x = 1.44 + -1.08 Combine like terms: 1.44 + -1.08 = 0.36 -0.04x = 0.36 Divide each side by '-0.04'. x = -9 Simplifying x = -9
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