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Simplifying 6x + -1(2 + -29) = 9x + 14 Combine like terms: 2 + -29 = -27 6x + -1(-27) = 9x + 14 Multiply -1 * -27 6x + 27 = 9x + 14 Reorder the terms: 27 + 6x = 9x + 14 Reorder the terms: 27 + 6x = 14 + 9x Solving 27 + 6x = 14 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 27 + 6x + -9x = 14 + 9x + -9x Combine like terms: 6x + -9x = -3x 27 + -3x = 14 + 9x + -9x Combine like terms: 9x + -9x = 0 27 + -3x = 14 + 0 27 + -3x = 14 Add '-27' to each side of the equation. 27 + -27 + -3x = 14 + -27 Combine like terms: 27 + -27 = 0 0 + -3x = 14 + -27 -3x = 14 + -27 Combine like terms: 14 + -27 = -13 -3x = -13 Divide each side by '-3'. x = 4.333333333 Simplifying x = 4.333333333
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