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Simplifying 3x + (9x + -14) + 1 = -11 + 6(9x + -14) + -1x Reorder the terms: 3x + (-14 + 9x) + 1 = -11 + 6(9x + -14) + -1x Remove parenthesis around (-14 + 9x) 3x + -14 + 9x + 1 = -11 + 6(9x + -14) + -1x Reorder the terms: -14 + 1 + 3x + 9x = -11 + 6(9x + -14) + -1x Combine like terms: -14 + 1 = -13 -13 + 3x + 9x = -11 + 6(9x + -14) + -1x Combine like terms: 3x + 9x = 12x -13 + 12x = -11 + 6(9x + -14) + -1x Reorder the terms: -13 + 12x = -11 + 6(-14 + 9x) + -1x -13 + 12x = -11 + (-14 * 6 + 9x * 6) + -1x -13 + 12x = -11 + (-84 + 54x) + -1x Combine like terms: -11 + -84 = -95 -13 + 12x = -95 + 54x + -1x Combine like terms: 54x + -1x = 53x -13 + 12x = -95 + 53x Solving -13 + 12x = -95 + 53x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-53x' to each side of the equation. -13 + 12x + -53x = -95 + 53x + -53x Combine like terms: 12x + -53x = -41x -13 + -41x = -95 + 53x + -53x Combine like terms: 53x + -53x = 0 -13 + -41x = -95 + 0 -13 + -41x = -95 Add '13' to each side of the equation. -13 + 13 + -41x = -95 + 13 Combine like terms: -13 + 13 = 0 0 + -41x = -95 + 13 -41x = -95 + 13 Combine like terms: -95 + 13 = -82 -41x = -82 Divide each side by '-41'. x = 2 Simplifying x = 2
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