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Simplifying 14 + -3x = 5(x + -10) Reorder the terms: 14 + -3x = 5(-10 + x) 14 + -3x = (-10 * 5 + x * 5) 14 + -3x = (-50 + 5x) Solving 14 + -3x = -50 + 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 + -3x + -5x = -50 + 5x + -5x Combine like terms: -3x + -5x = -8x 14 + -8x = -50 + 5x + -5x Combine like terms: 5x + -5x = 0 14 + -8x = -50 + 0 14 + -8x = -50 Add '-14' to each side of the equation. 14 + -14 + -8x = -50 + -14 Combine like terms: 14 + -14 = 0 0 + -8x = -50 + -14 -8x = -50 + -14 Combine like terms: -50 + -14 = -64 -8x = -64 Divide each side by '-8'. x = 8 Simplifying x = 8
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