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Simplifying 0.7x + 0.2(30) = 0.4(x + 30) Multiply 0.2 * 30 0.7x + 6 = 0.4(x + 30) Reorder the terms: 6 + 0.7x = 0.4(x + 30) Reorder the terms: 6 + 0.7x = 0.4(30 + x) 6 + 0.7x = (30 * 0.4 + x * 0.4) 6 + 0.7x = (12 + 0.4x) Solving 6 + 0.7x = 12 + 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 + 0.7x + -0.4x = 12 + 0.4x + -0.4x Combine like terms: 0.7x + -0.4x = 0.3x 6 + 0.3x = 12 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 6 + 0.3x = 12 + 0.0 6 + 0.3x = 12 Add '-6' to each side of the equation. 6 + -6 + 0.3x = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 0.3x = 12 + -6 0.3x = 12 + -6 Combine like terms: 12 + -6 = 6 0.3x = 6 Divide each side by '0.3'. x = 20 Simplifying x = 20
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