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Simplifying 9x + 14 = -6(12 + x) + 38 Reorder the terms: 14 + 9x = -6(12 + x) + 38 14 + 9x = (12 * -6 + x * -6) + 38 14 + 9x = (-72 + -6x) + 38 Reorder the terms: 14 + 9x = -72 + 38 + -6x Combine like terms: -72 + 38 = -34 14 + 9x = -34 + -6x Solving 14 + 9x = -34 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 14 + 9x + 6x = -34 + -6x + 6x Combine like terms: 9x + 6x = 15x 14 + 15x = -34 + -6x + 6x Combine like terms: -6x + 6x = 0 14 + 15x = -34 + 0 14 + 15x = -34 Add '-14' to each side of the equation. 14 + -14 + 15x = -34 + -14 Combine like terms: 14 + -14 = 0 0 + 15x = -34 + -14 15x = -34 + -14 Combine like terms: -34 + -14 = -48 15x = -48 Divide each side by '15'. x = -3.2 Simplifying x = -3.2
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