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Simplifying 2x + -4(x + -3) = -2 + 3x + 4 Reorder the terms: 2x + -4(-3 + x) = -2 + 3x + 4 2x + (-3 * -4 + x * -4) = -2 + 3x + 4 2x + (12 + -4x) = -2 + 3x + 4 Reorder the terms: 12 + 2x + -4x = -2 + 3x + 4 Combine like terms: 2x + -4x = -2x 12 + -2x = -2 + 3x + 4 Reorder the terms: 12 + -2x = -2 + 4 + 3x Combine like terms: -2 + 4 = 2 12 + -2x = 2 + 3x Solving 12 + -2x = 2 + 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. 12 + -2x + -3x = 2 + 3x + -3x Combine like terms: -2x + -3x = -5x 12 + -5x = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 12 + -5x = 2 + 0 12 + -5x = 2 Add '-12' to each side of the equation. 12 + -12 + -5x = 2 + -12 Combine like terms: 12 + -12 = 0 0 + -5x = 2 + -12 -5x = 2 + -12 Combine like terms: 2 + -12 = -10 -5x = -10 Divide each side by '-5'. x = 2 Simplifying x = 2
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