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Simplifying 0.10x + 0.02(70) = 0.08(x + 400) Multiply 0.02 * 70 0.10x + 1.4 = 0.08(x + 400) Reorder the terms: 1.4 + 0.10x = 0.08(x + 400) Reorder the terms: 1.4 + 0.10x = 0.08(400 + x) 1.4 + 0.10x = (400 * 0.08 + x * 0.08) 1.4 + 0.10x = (32 + 0.08x) Solving 1.4 + 0.10x = 32 + 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. 1.4 + 0.10x + -0.08x = 32 + 0.08x + -0.08x Combine like terms: 0.10x + -0.08x = 0.02x 1.4 + 0.02x = 32 + 0.08x + -0.08x Combine like terms: 0.08x + -0.08x = 0.00 1.4 + 0.02x = 32 + 0.00 1.4 + 0.02x = 32 Add '-1.4' to each side of the equation. 1.4 + -1.4 + 0.02x = 32 + -1.4 Combine like terms: 1.4 + -1.4 = 0.0 0.0 + 0.02x = 32 + -1.4 0.02x = 32 + -1.4 Combine like terms: 32 + -1.4 = 30.6 0.02x = 30.6 Divide each side by '0.02'. x = 1530 Simplifying x = 1530
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