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Simplifying 2x + 4(3x + 2) = 2x + 5 Reorder the terms: 2x + 4(2 + 3x) = 2x + 5 2x + (2 * 4 + 3x * 4) = 2x + 5 2x + (8 + 12x) = 2x + 5 Reorder the terms: 8 + 2x + 12x = 2x + 5 Combine like terms: 2x + 12x = 14x 8 + 14x = 2x + 5 Reorder the terms: 8 + 14x = 5 + 2x Solving 8 + 14x = 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. 8 + 14x + -2x = 5 + 2x + -2x Combine like terms: 14x + -2x = 12x 8 + 12x = 5 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + 12x = 5 + 0 8 + 12x = 5 Add '-8' to each side of the equation. 8 + -8 + 12x = 5 + -8 Combine like terms: 8 + -8 = 0 0 + 12x = 5 + -8 12x = 5 + -8 Combine like terms: 5 + -8 = -3 12x = -3 Divide each side by '12'. x = -0.25 Simplifying x = -0.25
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