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Simplifying 10 + 0.6x = 40 + x(0.3) Reorder the terms for easier multiplication: 10 + 0.6x = 40 + 0.3x Solving 10 + 0.6x = 40 + 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. 10 + 0.6x + -0.3x = 40 + 0.3x + -0.3x Combine like terms: 0.6x + -0.3x = 0.3x 10 + 0.3x = 40 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 10 + 0.3x = 40 + 0.0 10 + 0.3x = 40 Add '-10' to each side of the equation. 10 + -10 + 0.3x = 40 + -10 Combine like terms: 10 + -10 = 0 0 + 0.3x = 40 + -10 0.3x = 40 + -10 Combine like terms: 40 + -10 = 30 0.3x = 30 Divide each side by '0.3'. x = 100 Simplifying x = 100
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