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Simplifying 3x + -14 + 7x = 5(x + -9) Reorder the terms: -14 + 3x + 7x = 5(x + -9) Combine like terms: 3x + 7x = 10x -14 + 10x = 5(x + -9) Reorder the terms: -14 + 10x = 5(-9 + x) -14 + 10x = (-9 * 5 + x * 5) -14 + 10x = (-45 + 5x) Solving -14 + 10x = -45 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -14 + 10x + -5x = -45 + 5x + -5x Combine like terms: 10x + -5x = 5x -14 + 5x = -45 + 5x + -5x Combine like terms: 5x + -5x = 0 -14 + 5x = -45 + 0 -14 + 5x = -45 Add '14' to each side of the equation. -14 + 14 + 5x = -45 + 14 Combine like terms: -14 + 14 = 0 0 + 5x = -45 + 14 5x = -45 + 14 Combine like terms: -45 + 14 = -31 5x = -31 Divide each side by '5'. x = -6.2 Simplifying x = -6.2
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