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Simplifying 11x + -3x + 12x = 6(x + 4) + 7x Combine like terms: 11x + -3x = 8x 8x + 12x = 6(x + 4) + 7x Combine like terms: 8x + 12x = 20x 20x = 6(x + 4) + 7x Reorder the terms: 20x = 6(4 + x) + 7x 20x = (4 * 6 + x * 6) + 7x 20x = (24 + 6x) + 7x Combine like terms: 6x + 7x = 13x 20x = 24 + 13x Solving 20x = 24 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 20x + -13x = 24 + 13x + -13x Combine like terms: 20x + -13x = 7x 7x = 24 + 13x + -13x Combine like terms: 13x + -13x = 0 7x = 24 + 0 7x = 24 Divide each side by '7'. x = 3.428571429 Simplifying x = 3.428571429
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