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Simplifying 3x + 4(5 + 2x) + 13 = 5x + -1x + -6 3x + (5 * 4 + 2x * 4) + 13 = 5x + -1x + -6 3x + (20 + 8x) + 13 = 5x + -1x + -6 Reorder the terms: 20 + 13 + 3x + 8x = 5x + -1x + -6 Combine like terms: 20 + 13 = 33 33 + 3x + 8x = 5x + -1x + -6 Combine like terms: 3x + 8x = 11x 33 + 11x = 5x + -1x + -6 Reorder the terms: 33 + 11x = -6 + 5x + -1x Combine like terms: 5x + -1x = 4x 33 + 11x = -6 + 4x Solving 33 + 11x = -6 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 33 + 11x + -4x = -6 + 4x + -4x Combine like terms: 11x + -4x = 7x 33 + 7x = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 33 + 7x = -6 + 0 33 + 7x = -6 Add '-33' to each side of the equation. 33 + -33 + 7x = -6 + -33 Combine like terms: 33 + -33 = 0 0 + 7x = -6 + -33 7x = -6 + -33 Combine like terms: -6 + -33 = -39 7x = -39 Divide each side by '7'. x = -5.571428571 Simplifying x = -5.571428571
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