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Simplifying 5(x + 0.4) = 2x + x + 14 Reorder the terms: 5(0.4 + x) = 2x + x + 14 (0.4 * 5 + x * 5) = 2x + x + 14 (2 + 5x) = 2x + x + 14 Reorder the terms: 2 + 5x = 14 + 2x + x Combine like terms: 2x + x = 3x 2 + 5x = 14 + 3x Solving 2 + 5x = 14 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 2 + 5x + -3x = 14 + 3x + -3x Combine like terms: 5x + -3x = 2x 2 + 2x = 14 + 3x + -3x Combine like terms: 3x + -3x = 0 2 + 2x = 14 + 0 2 + 2x = 14 Add '-2' to each side of the equation. 2 + -2 + 2x = 14 + -2 Combine like terms: 2 + -2 = 0 0 + 2x = 14 + -2 2x = 14 + -2 Combine like terms: 14 + -2 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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