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Simplifying 2x + -5(x + -4) = -6 + 5x + -14 Reorder the terms: 2x + -5(-4 + x) = -6 + 5x + -14 2x + (-4 * -5 + x * -5) = -6 + 5x + -14 2x + (20 + -5x) = -6 + 5x + -14 Reorder the terms: 20 + 2x + -5x = -6 + 5x + -14 Combine like terms: 2x + -5x = -3x 20 + -3x = -6 + 5x + -14 Reorder the terms: 20 + -3x = -6 + -14 + 5x Combine like terms: -6 + -14 = -20 20 + -3x = -20 + 5x Solving 20 + -3x = -20 + 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. 20 + -3x + -5x = -20 + 5x + -5x Combine like terms: -3x + -5x = -8x 20 + -8x = -20 + 5x + -5x Combine like terms: 5x + -5x = 0 20 + -8x = -20 + 0 20 + -8x = -20 Add '-20' to each side of the equation. 20 + -20 + -8x = -20 + -20 Combine like terms: 20 + -20 = 0 0 + -8x = -20 + -20 -8x = -20 + -20 Combine like terms: -20 + -20 = -40 -8x = -40 Divide each side by '-8'. x = 5 Simplifying x = 5
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