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Simplifying 14 + -9x = 6(-4x + -13) Reorder the terms: 14 + -9x = 6(-13 + -4x) 14 + -9x = (-13 * 6 + -4x * 6) 14 + -9x = (-78 + -24x) Solving 14 + -9x = -78 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. 14 + -9x + 24x = -78 + -24x + 24x Combine like terms: -9x + 24x = 15x 14 + 15x = -78 + -24x + 24x Combine like terms: -24x + 24x = 0 14 + 15x = -78 + 0 14 + 15x = -78 Add '-14' to each side of the equation. 14 + -14 + 15x = -78 + -14 Combine like terms: 14 + -14 = 0 0 + 15x = -78 + -14 15x = -78 + -14 Combine like terms: -78 + -14 = -92 15x = -92 Divide each side by '15'. x = -6.133333333 Simplifying x = -6.133333333
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