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Simplifying 3x + 4(2x + 3) = 5x + 2 Reorder the terms: 3x + 4(3 + 2x) = 5x + 2 3x + (3 * 4 + 2x * 4) = 5x + 2 3x + (12 + 8x) = 5x + 2 Reorder the terms: 12 + 3x + 8x = 5x + 2 Combine like terms: 3x + 8x = 11x 12 + 11x = 5x + 2 Reorder the terms: 12 + 11x = 2 + 5x Solving 12 + 11x = 2 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 12 + 11x + -5x = 2 + 5x + -5x Combine like terms: 11x + -5x = 6x 12 + 6x = 2 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + 6x = 2 + 0 12 + 6x = 2 Add '-12' to each side of the equation. 12 + -12 + 6x = 2 + -12 Combine like terms: 12 + -12 = 0 0 + 6x = 2 + -12 6x = 2 + -12 Combine like terms: 2 + -12 = -10 6x = -10 Divide each side by '6'. x = -1.666666667 Simplifying x = -1.666666667
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