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Simplifying 6x + 5(3 + -1x) + 11(2 + -1x) + 11(2 + -1x) = 14 6x + (3 * 5 + -1x * 5) + 11(2 + -1x) + 11(2 + -1x) = 14 6x + (15 + -5x) + 11(2 + -1x) + 11(2 + -1x) = 14 6x + 15 + -5x + (2 * 11 + -1x * 11) + 11(2 + -1x) = 14 6x + 15 + -5x + (22 + -11x) + 11(2 + -1x) = 14 6x + 15 + -5x + 22 + -11x + (2 * 11 + -1x * 11) = 14 6x + 15 + -5x + 22 + -11x + (22 + -11x) = 14 Reorder the terms: 15 + 22 + 22 + 6x + -5x + -11x + -11x = 14 Combine like terms: 15 + 22 = 37 37 + 22 + 6x + -5x + -11x + -11x = 14 Combine like terms: 37 + 22 = 59 59 + 6x + -5x + -11x + -11x = 14 Combine like terms: 6x + -5x = 1x 59 + 1x + -11x + -11x = 14 Combine like terms: 1x + -11x = -10x 59 + -10x + -11x = 14 Combine like terms: -10x + -11x = -21x 59 + -21x = 14 Solving 59 + -21x = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-59' to each side of the equation. 59 + -59 + -21x = 14 + -59 Combine like terms: 59 + -59 = 0 0 + -21x = 14 + -59 -21x = 14 + -59 Combine like terms: 14 + -59 = -45 -21x = -45 Divide each side by '-21'. x = 2.142857143 Simplifying x = 2.142857143
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