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Simplifying 2x + -4(x + -5) = -2 + 4x + -14 Reorder the terms: 2x + -4(-5 + x) = -2 + 4x + -14 2x + (-5 * -4 + x * -4) = -2 + 4x + -14 2x + (20 + -4x) = -2 + 4x + -14 Reorder the terms: 20 + 2x + -4x = -2 + 4x + -14 Combine like terms: 2x + -4x = -2x 20 + -2x = -2 + 4x + -14 Reorder the terms: 20 + -2x = -2 + -14 + 4x Combine like terms: -2 + -14 = -16 20 + -2x = -16 + 4x Solving 20 + -2x = -16 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 20 + -2x + -4x = -16 + 4x + -4x Combine like terms: -2x + -4x = -6x 20 + -6x = -16 + 4x + -4x Combine like terms: 4x + -4x = 0 20 + -6x = -16 + 0 20 + -6x = -16 Add '-20' to each side of the equation. 20 + -20 + -6x = -16 + -20 Combine like terms: 20 + -20 = 0 0 + -6x = -16 + -20 -6x = -16 + -20 Combine like terms: -16 + -20 = -36 -6x = -36 Divide each side by '-6'. x = 6 Simplifying x = 6
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