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Simplifying 0.16(24) + 0.04x = 0.08(6 + x) Multiply 0.16 * 24 3.84 + 0.04x = 0.08(6 + x) 3.84 + 0.04x = (6 * 0.08 + x * 0.08) 3.84 + 0.04x = (0.48 + 0.08x) Solving 3.84 + 0.04x = 0.48 + 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 = 0.48 + 0.08x + -0.08x Combine like terms: 0.04x + -0.08x = -0.04x 3.84 + -0.04x = 0.48 + 0.08x + -0.08x Combine like terms: 0.08x + -0.08x = 0.00 3.84 + -0.04x = 0.48 + 0.00 3.84 + -0.04x = 0.48 Add '-3.84' to each side of the equation. 3.84 + -3.84 + -0.04x = 0.48 + -3.84 Combine like terms: 3.84 + -3.84 = 0.00 0.00 + -0.04x = 0.48 + -3.84 -0.04x = 0.48 + -3.84 Combine like terms: 0.48 + -3.84 = -3.36 -0.04x = -3.36 Divide each side by '-0.04'. x = 84 Simplifying x = 84
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