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Simplifying 0.48(6) + 0.08x = 0.24(24 + x) Multiply 0.48 * 6 2.88 + 0.08x = 0.24(24 + x) 2.88 + 0.08x = (24 * 0.24 + x * 0.24) 2.88 + 0.08x = (5.76 + 0.24x) Solving 2.88 + 0.08x = 5.76 + 0.24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.24x' to each side of the equation. 2.88 + 0.08x + -0.24x = 5.76 + 0.24x + -0.24x Combine like terms: 0.08x + -0.24x = -0.16x 2.88 + -0.16x = 5.76 + 0.24x + -0.24x Combine like terms: 0.24x + -0.24x = 0.00 2.88 + -0.16x = 5.76 + 0.00 2.88 + -0.16x = 5.76 Add '-2.88' to each side of the equation. 2.88 + -2.88 + -0.16x = 5.76 + -2.88 Combine like terms: 2.88 + -2.88 = 0.00 0.00 + -0.16x = 5.76 + -2.88 -0.16x = 5.76 + -2.88 Combine like terms: 5.76 + -2.88 = 2.88 -0.16x = 2.88 Divide each side by '-0.16'. x = -18 Simplifying x = -18
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