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Simplifying 0.3(60) + 0.6x = 0.4(60 + x) Multiply 0.3 * 60 18 + 0.6x = 0.4(60 + x) 18 + 0.6x = (60 * 0.4 + x * 0.4) 18 + 0.6x = (24 + 0.4x) Solving 18 + 0.6x = 24 + 0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4x' to each side of the equation. 18 + 0.6x + -0.4x = 24 + 0.4x + -0.4x Combine like terms: 0.6x + -0.4x = 0.2x 18 + 0.2x = 24 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 18 + 0.2x = 24 + 0.0 18 + 0.2x = 24 Add '-18' to each side of the equation. 18 + -18 + 0.2x = 24 + -18 Combine like terms: 18 + -18 = 0 0 + 0.2x = 24 + -18 0.2x = 24 + -18 Combine like terms: 24 + -18 = 6 0.2x = 6 Divide each side by '0.2'. x = 30 Simplifying x = 30
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