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Simplifying 0.16x + 0.07(6) = 0.12(6 + x) Multiply 0.07 * 6 0.16x + 0.42 = 0.12(6 + x) Reorder the terms: 0.42 + 0.16x = 0.12(6 + x) 0.42 + 0.16x = (6 * 0.12 + x * 0.12) 0.42 + 0.16x = (0.72 + 0.12x) Solving 0.42 + 0.16x = 0.72 + 0.12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.12x' to each side of the equation. 0.42 + 0.16x + -0.12x = 0.72 + 0.12x + -0.12x Combine like terms: 0.16x + -0.12x = 0.04x 0.42 + 0.04x = 0.72 + 0.12x + -0.12x Combine like terms: 0.12x + -0.12x = 0.00 0.42 + 0.04x = 0.72 + 0.00 0.42 + 0.04x = 0.72 Add '-0.42' to each side of the equation. 0.42 + -0.42 + 0.04x = 0.72 + -0.42 Combine like terms: 0.42 + -0.42 = 0.00 0.00 + 0.04x = 0.72 + -0.42 0.04x = 0.72 + -0.42 Combine like terms: 0.72 + -0.42 = 0.3 0.04x = 0.3 Divide each side by '0.04'. x = 7.5 Simplifying x = 7.5
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