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Simplifying 6x + 5(3 + -1x) + 11(2 + -1x) = 14 6x + (3 * 5 + -1x * 5) + 11(2 + -1x) = 14 6x + (15 + -5x) + 11(2 + -1x) = 14 6x + 15 + -5x + (2 * 11 + -1x * 11) = 14 6x + 15 + -5x + (22 + -11x) = 14 Reorder the terms: 15 + 22 + 6x + -5x + -11x = 14 Combine like terms: 15 + 22 = 37 37 + 6x + -5x + -11x = 14 Combine like terms: 6x + -5x = 1x 37 + 1x + -11x = 14 Combine like terms: 1x + -11x = -10x 37 + -10x = 14 Solving 37 + -10x = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-37' to each side of the equation. 37 + -37 + -10x = 14 + -37 Combine like terms: 37 + -37 = 0 0 + -10x = 14 + -37 -10x = 14 + -37 Combine like terms: 14 + -37 = -23 -10x = -23 Divide each side by '-10'. x = 2.3 Simplifying x = 2.3
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