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Simplifying 1.4 + 0.08x = 0.06(70 + x) 1.4 + 0.08x = (70 * 0.06 + x * 0.06) 1.4 + 0.08x = (4.2 + 0.06x) Solving 1.4 + 0.08x = 4.2 + 0.06x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.06x' to each side of the equation. 1.4 + 0.08x + -0.06x = 4.2 + 0.06x + -0.06x Combine like terms: 0.08x + -0.06x = 0.02x 1.4 + 0.02x = 4.2 + 0.06x + -0.06x Combine like terms: 0.06x + -0.06x = 0.00 1.4 + 0.02x = 4.2 + 0.00 1.4 + 0.02x = 4.2 Add '-1.4' to each side of the equation. 1.4 + -1.4 + 0.02x = 4.2 + -1.4 Combine like terms: 1.4 + -1.4 = 0.0 0.0 + 0.02x = 4.2 + -1.4 0.02x = 4.2 + -1.4 Combine like terms: 4.2 + -1.4 = 2.8 0.02x = 2.8 Divide each side by '0.02'. x = 140 Simplifying x = 140
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