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Simplifying 0.16(6) + 0.04x = 0.08(36 + x) Multiply 0.16 * 6 0.96 + 0.04x = 0.08(36 + x) 0.96 + 0.04x = (36 * 0.08 + x * 0.08) 0.96 + 0.04x = (2.88 + 0.08x) Solving 0.96 + 0.04x = 2.88 + 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. 0.96 + 0.04x + -0.08x = 2.88 + 0.08x + -0.08x Combine like terms: 0.04x + -0.08x = -0.04x 0.96 + -0.04x = 2.88 + 0.08x + -0.08x Combine like terms: 0.08x + -0.08x = 0.00 0.96 + -0.04x = 2.88 + 0.00 0.96 + -0.04x = 2.88 Add '-0.96' to each side of the equation. 0.96 + -0.96 + -0.04x = 2.88 + -0.96 Combine like terms: 0.96 + -0.96 = 0.00 0.00 + -0.04x = 2.88 + -0.96 -0.04x = 2.88 + -0.96 Combine like terms: 2.88 + -0.96 = 1.92 -0.04x = 1.92 Divide each side by '-0.04'. x = -48 Simplifying x = -48
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