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Simplifying -5x + -14 = 3(x + -2) + 6x + -4 Reorder the terms: -14 + -5x = 3(x + -2) + 6x + -4 Reorder the terms: -14 + -5x = 3(-2 + x) + 6x + -4 -14 + -5x = (-2 * 3 + x * 3) + 6x + -4 -14 + -5x = (-6 + 3x) + 6x + -4 Reorder the terms: -14 + -5x = -6 + -4 + 3x + 6x Combine like terms: -6 + -4 = -10 -14 + -5x = -10 + 3x + 6x Combine like terms: 3x + 6x = 9x -14 + -5x = -10 + 9x Solving -14 + -5x = -10 + 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. -14 + -5x + -9x = -10 + 9x + -9x Combine like terms: -5x + -9x = -14x -14 + -14x = -10 + 9x + -9x Combine like terms: 9x + -9x = 0 -14 + -14x = -10 + 0 -14 + -14x = -10 Add '14' to each side of the equation. -14 + 14 + -14x = -10 + 14 Combine like terms: -14 + 14 = 0 0 + -14x = -10 + 14 -14x = -10 + 14 Combine like terms: -10 + 14 = 4 -14x = 4 Divide each side by '-14'. x = -0.2857142857 Simplifying x = -0.2857142857
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