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Simplifying 3x + 2(4x + 1) = 5(x + 4) + -2 Reorder the terms: 3x + 2(1 + 4x) = 5(x + 4) + -2 3x + (1 * 2 + 4x * 2) = 5(x + 4) + -2 3x + (2 + 8x) = 5(x + 4) + -2 Reorder the terms: 2 + 3x + 8x = 5(x + 4) + -2 Combine like terms: 3x + 8x = 11x 2 + 11x = 5(x + 4) + -2 Reorder the terms: 2 + 11x = 5(4 + x) + -2 2 + 11x = (4 * 5 + x * 5) + -2 2 + 11x = (20 + 5x) + -2 Reorder the terms: 2 + 11x = 20 + -2 + 5x Combine like terms: 20 + -2 = 18 2 + 11x = 18 + 5x Solving 2 + 11x = 18 + 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. 2 + 11x + -5x = 18 + 5x + -5x Combine like terms: 11x + -5x = 6x 2 + 6x = 18 + 5x + -5x Combine like terms: 5x + -5x = 0 2 + 6x = 18 + 0 2 + 6x = 18 Add '-2' to each side of the equation. 2 + -2 + 6x = 18 + -2 Combine like terms: 2 + -2 = 0 0 + 6x = 18 + -2 6x = 18 + -2 Combine like terms: 18 + -2 = 16 6x = 16 Divide each side by '6'. x = 2.666666667 Simplifying x = 2.666666667
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