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Simplifying 2x + -4(x + -2) = -8 + 3x + -4 Reorder the terms: 2x + -4(-2 + x) = -8 + 3x + -4 2x + (-2 * -4 + x * -4) = -8 + 3x + -4 2x + (8 + -4x) = -8 + 3x + -4 Reorder the terms: 8 + 2x + -4x = -8 + 3x + -4 Combine like terms: 2x + -4x = -2x 8 + -2x = -8 + 3x + -4 Reorder the terms: 8 + -2x = -8 + -4 + 3x Combine like terms: -8 + -4 = -12 8 + -2x = -12 + 3x Solving 8 + -2x = -12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 8 + -2x + -3x = -12 + 3x + -3x Combine like terms: -2x + -3x = -5x 8 + -5x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 8 + -5x = -12 + 0 8 + -5x = -12 Add '-8' to each side of the equation. 8 + -8 + -5x = -12 + -8 Combine like terms: 8 + -8 = 0 0 + -5x = -12 + -8 -5x = -12 + -8 Combine like terms: -12 + -8 = -20 -5x = -20 Divide each side by '-5'. x = 4 Simplifying x = 4
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