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Simplifying 0.1x + 3x + 0.9x = 14 + 2x Combine like terms: 0.1x + 3x = 3.1x 3.1x + 0.9x = 14 + 2x Combine like terms: 3.1x + 0.9x = 4x 4x = 14 + 2x Solving 4x = 14 + 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. 4x + -2x = 14 + 2x + -2x Combine like terms: 4x + -2x = 2x 2x = 14 + 2x + -2x Combine like terms: 2x + -2x = 0 2x = 14 + 0 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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