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Simplifying 0.6x + 0.3(20) = 0.4(x + 10) Multiply 0.3 * 20 0.6x + 6 = 0.4(x + 10) Reorder the terms: 6 + 0.6x = 0.4(x + 10) Reorder the terms: 6 + 0.6x = 0.4(10 + x) 6 + 0.6x = (10 * 0.4 + x * 0.4) 6 + 0.6x = (4 + 0.4x) Solving 6 + 0.6x = 4 + 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. 6 + 0.6x + -0.4x = 4 + 0.4x + -0.4x Combine like terms: 0.6x + -0.4x = 0.2x 6 + 0.2x = 4 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 6 + 0.2x = 4 + 0.0 6 + 0.2x = 4 Add '-6' to each side of the equation. 6 + -6 + 0.2x = 4 + -6 Combine like terms: 6 + -6 = 0 0 + 0.2x = 4 + -6 0.2x = 4 + -6 Combine like terms: 4 + -6 = -2 0.2x = -2 Divide each side by '0.2'. x = -10 Simplifying x = -10
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