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Simplifying 0.24(6) + 0.04x = 0.08(6 + x) Multiply 0.24 * 6 1.44 + 0.04x = 0.08(6 + x) 1.44 + 0.04x = (6 * 0.08 + x * 0.08) 1.44 + 0.04x = (0.48 + 0.08x) Solving 1.44 + 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. 1.44 + 0.04x + -0.08x = 0.48 + 0.08x + -0.08x Combine like terms: 0.04x + -0.08x = -0.04x 1.44 + -0.04x = 0.48 + 0.08x + -0.08x Combine like terms: 0.08x + -0.08x = 0.00 1.44 + -0.04x = 0.48 + 0.00 1.44 + -0.04x = 0.48 Add '-1.44' to each side of the equation. 1.44 + -1.44 + -0.04x = 0.48 + -1.44 Combine like terms: 1.44 + -1.44 = 0.00 0.00 + -0.04x = 0.48 + -1.44 -0.04x = 0.48 + -1.44 Combine like terms: 0.48 + -1.44 = -0.96 -0.04x = -0.96 Divide each side by '-0.04'. x = 24 Simplifying x = 24
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