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Simplifying 14(x + -6) + -11x + 47 = 0 Reorder the terms: 14(-6 + x) + -11x + 47 = 0 (-6 * 14 + x * 14) + -11x + 47 = 0 (-84 + 14x) + -11x + 47 = 0 Reorder the terms: -84 + 47 + 14x + -11x = 0 Combine like terms: -84 + 47 = -37 -37 + 14x + -11x = 0 Combine like terms: 14x + -11x = 3x -37 + 3x = 0 Solving -37 + 3x = 0 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 + 3x = 0 + 37 Combine like terms: -37 + 37 = 0 0 + 3x = 0 + 37 3x = 0 + 37 Combine like terms: 0 + 37 = 37 3x = 37 Divide each side by '3'. x = 12.33333333 Simplifying x = 12.33333333
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