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Simplifying 2x + -4(x + -5) = -8 + 2x + -4 Reorder the terms: 2x + -4(-5 + x) = -8 + 2x + -4 2x + (-5 * -4 + x * -4) = -8 + 2x + -4 2x + (20 + -4x) = -8 + 2x + -4 Reorder the terms: 20 + 2x + -4x = -8 + 2x + -4 Combine like terms: 2x + -4x = -2x 20 + -2x = -8 + 2x + -4 Reorder the terms: 20 + -2x = -8 + -4 + 2x Combine like terms: -8 + -4 = -12 20 + -2x = -12 + 2x Solving 20 + -2x = -12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 20 + -2x + -2x = -12 + 2x + -2x Combine like terms: -2x + -2x = -4x 20 + -4x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 20 + -4x = -12 + 0 20 + -4x = -12 Add '-20' to each side of the equation. 20 + -20 + -4x = -12 + -20 Combine like terms: 20 + -20 = 0 0 + -4x = -12 + -20 -4x = -12 + -20 Combine like terms: -12 + -20 = -32 -4x = -32 Divide each side by '-4'. x = 8 Simplifying x = 8
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