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Simplifying 0.116(18) + 0.04x = 0.08(24 + x) Multiply 0.116 * 18 2.088 + 0.04x = 0.08(24 + x) 2.088 + 0.04x = (24 * 0.08 + x * 0.08) 2.088 + 0.04x = (1.92 + 0.08x) Solving 2.088 + 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. 2.088 + 0.04x + -0.08x = 1.92 + 0.08x + -0.08x Combine like terms: 0.04x + -0.08x = -0.04x 2.088 + -0.04x = 1.92 + 0.08x + -0.08x Combine like terms: 0.08x + -0.08x = 0.00 2.088 + -0.04x = 1.92 + 0.00 2.088 + -0.04x = 1.92 Add '-2.088' to each side of the equation. 2.088 + -2.088 + -0.04x = 1.92 + -2.088 Combine like terms: 2.088 + -2.088 = 0.000 0.000 + -0.04x = 1.92 + -2.088 -0.04x = 1.92 + -2.088 Combine like terms: 1.92 + -2.088 = -0.168 -0.04x = -0.168 Divide each side by '-0.04'. x = 4.2 Simplifying x = 4.2
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