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Simplifying 2x + -3(x + -4) = -2x + 4 + -3x Reorder the terms: 2x + -3(-4 + x) = -2x + 4 + -3x 2x + (-4 * -3 + x * -3) = -2x + 4 + -3x 2x + (12 + -3x) = -2x + 4 + -3x Reorder the terms: 12 + 2x + -3x = -2x + 4 + -3x Combine like terms: 2x + -3x = -1x 12 + -1x = -2x + 4 + -3x Reorder the terms: 12 + -1x = 4 + -2x + -3x Combine like terms: -2x + -3x = -5x 12 + -1x = 4 + -5x Solving 12 + -1x = 4 + -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. 12 + -1x + 5x = 4 + -5x + 5x Combine like terms: -1x + 5x = 4x 12 + 4x = 4 + -5x + 5x Combine like terms: -5x + 5x = 0 12 + 4x = 4 + 0 12 + 4x = 4 Add '-12' to each side of the equation. 12 + -12 + 4x = 4 + -12 Combine like terms: 12 + -12 = 0 0 + 4x = 4 + -12 4x = 4 + -12 Combine like terms: 4 + -12 = -8 4x = -8 Divide each side by '4'. x = -2 Simplifying x = -2
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