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Simplifying 3(2x + 1) = 5(2 + -1x) + 3(x + 4) Reorder the terms: 3(1 + 2x) = 5(2 + -1x) + 3(x + 4) (1 * 3 + 2x * 3) = 5(2 + -1x) + 3(x + 4) (3 + 6x) = 5(2 + -1x) + 3(x + 4) 3 + 6x = (2 * 5 + -1x * 5) + 3(x + 4) 3 + 6x = (10 + -5x) + 3(x + 4) Reorder the terms: 3 + 6x = 10 + -5x + 3(4 + x) 3 + 6x = 10 + -5x + (4 * 3 + x * 3) 3 + 6x = 10 + -5x + (12 + 3x) Reorder the terms: 3 + 6x = 10 + 12 + -5x + 3x Combine like terms: 10 + 12 = 22 3 + 6x = 22 + -5x + 3x Combine like terms: -5x + 3x = -2x 3 + 6x = 22 + -2x Solving 3 + 6x = 22 + -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. 3 + 6x + 2x = 22 + -2x + 2x Combine like terms: 6x + 2x = 8x 3 + 8x = 22 + -2x + 2x Combine like terms: -2x + 2x = 0 3 + 8x = 22 + 0 3 + 8x = 22 Add '-3' to each side of the equation. 3 + -3 + 8x = 22 + -3 Combine like terms: 3 + -3 = 0 0 + 8x = 22 + -3 8x = 22 + -3 Combine like terms: 22 + -3 = 19 8x = 19 Divide each side by '8'. x = 2.375 Simplifying x = 2.375
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