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Simplifying 14 + -1(6x + -5) = 5(9x + -1) + -4x Reorder the terms: 14 + -1(-5 + 6x) = 5(9x + -1) + -4x 14 + (-5 * -1 + 6x * -1) = 5(9x + -1) + -4x 14 + (5 + -6x) = 5(9x + -1) + -4x Combine like terms: 14 + 5 = 19 19 + -6x = 5(9x + -1) + -4x Reorder the terms: 19 + -6x = 5(-1 + 9x) + -4x 19 + -6x = (-1 * 5 + 9x * 5) + -4x 19 + -6x = (-5 + 45x) + -4x Combine like terms: 45x + -4x = 41x 19 + -6x = -5 + 41x Solving 19 + -6x = -5 + 41x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-41x' to each side of the equation. 19 + -6x + -41x = -5 + 41x + -41x Combine like terms: -6x + -41x = -47x 19 + -47x = -5 + 41x + -41x Combine like terms: 41x + -41x = 0 19 + -47x = -5 + 0 19 + -47x = -5 Add '-19' to each side of the equation. 19 + -19 + -47x = -5 + -19 Combine like terms: 19 + -19 = 0 0 + -47x = -5 + -19 -47x = -5 + -19 Combine like terms: -5 + -19 = -24 -47x = -24 Divide each side by '-47'. x = 0.5106382979 Simplifying x = 0.5106382979
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