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Simplifying 0.4x + 0.5(30) = 0.3(x + 40) Multiply 0.5 * 30 0.4x + 15 = 0.3(x + 40) Reorder the terms: 15 + 0.4x = 0.3(x + 40) Reorder the terms: 15 + 0.4x = 0.3(40 + x) 15 + 0.4x = (40 * 0.3 + x * 0.3) 15 + 0.4x = (12 + 0.3x) Solving 15 + 0.4x = 12 + 0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3x' to each side of the equation. 15 + 0.4x + -0.3x = 12 + 0.3x + -0.3x Combine like terms: 0.4x + -0.3x = 0.1x 15 + 0.1x = 12 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 15 + 0.1x = 12 + 0.0 15 + 0.1x = 12 Add '-15' to each side of the equation. 15 + -15 + 0.1x = 12 + -15 Combine like terms: 15 + -15 = 0 0 + 0.1x = 12 + -15 0.1x = 12 + -15 Combine like terms: 12 + -15 = -3 0.1x = -3 Divide each side by '0.1'. x = -30 Simplifying x = -30
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