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Simplifying 0.4x + 0.5(10) = 0.3(x + 10) Multiply 0.5 * 10 0.4x + 5 = 0.3(x + 10) Reorder the terms: 5 + 0.4x = 0.3(x + 10) Reorder the terms: 5 + 0.4x = 0.3(10 + x) 5 + 0.4x = (10 * 0.3 + x * 0.3) 5 + 0.4x = (3 + 0.3x) Solving 5 + 0.4x = 3 + 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. 5 + 0.4x + -0.3x = 3 + 0.3x + -0.3x Combine like terms: 0.4x + -0.3x = 0.1x 5 + 0.1x = 3 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 5 + 0.1x = 3 + 0.0 5 + 0.1x = 3 Add '-5' to each side of the equation. 5 + -5 + 0.1x = 3 + -5 Combine like terms: 5 + -5 = 0 0 + 0.1x = 3 + -5 0.1x = 3 + -5 Combine like terms: 3 + -5 = -2 0.1x = -2 Divide each side by '0.1'. x = -20 Simplifying x = -20
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