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Simplifying 0.16(24) + 0.04x = 0.08(24 + x) Multiply 0.16 * 24 3.84 + 0.04x = 0.08(24 + x) 3.84 + 0.04x = (24 * 0.08 + x * 0.08) 3.84 + 0.04x = (1.92 + 0.08x) Solving 3.84 + 0.04x = 1.92 + 0.08x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.08x' to each side of the equation. 3.84 + 0.04x + -0.08x = 1.92 + 0.08x + -0.08x Combine like terms: 0.04x + -0.08x = -0.04x 3.84 + -0.04x = 1.92 + 0.08x + -0.08x Combine like terms: 0.08x + -0.08x = 0.00 3.84 + -0.04x = 1.92 + 0.00 3.84 + -0.04x = 1.92 Add '-3.84' to each side of the equation. 3.84 + -3.84 + -0.04x = 1.92 + -3.84 Combine like terms: 3.84 + -3.84 = 0.00 0.00 + -0.04x = 1.92 + -3.84 -0.04x = 1.92 + -3.84 Combine like terms: 1.92 + -3.84 = -1.92 -0.04x = -1.92 Divide each side by '-0.04'. x = 48 Simplifying x = 48
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