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Simplifying 0.40x + 10 + 0.60x = 2x + 5 Reorder the terms: 10 + 0.40x + 0.60x = 2x + 5 Combine like terms: 0.40x + 0.60x = 1x 10 + 1x = 2x + 5 Reorder the terms: 10 + 1x = 5 + 2x Solving 10 + 1x = 5 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 10 + 1x + -2x = 5 + 2x + -2x Combine like terms: 1x + -2x = -1x 10 + -1x = 5 + 2x + -2x Combine like terms: 2x + -2x = 0 10 + -1x = 5 + 0 10 + -1x = 5 Add '-10' to each side of the equation. 10 + -10 + -1x = 5 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 5 + -10 -1x = 5 + -10 Combine like terms: 5 + -10 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5
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