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Simplifying 2 + -3(x + -4) = -4x + 6 Reorder the terms: 2 + -3(-4 + x) = -4x + 6 2 + (-4 * -3 + x * -3) = -4x + 6 2 + (12 + -3x) = -4x + 6 Combine like terms: 2 + 12 = 14 14 + -3x = -4x + 6 Reorder the terms: 14 + -3x = 6 + -4x Solving 14 + -3x = 6 + -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. 14 + -3x + 4x = 6 + -4x + 4x Combine like terms: -3x + 4x = 1x 14 + 1x = 6 + -4x + 4x Combine like terms: -4x + 4x = 0 14 + 1x = 6 + 0 14 + 1x = 6 Add '-14' to each side of the equation. 14 + -14 + 1x = 6 + -14 Combine like terms: 14 + -14 = 0 0 + 1x = 6 + -14 1x = 6 + -14 Combine like terms: 6 + -14 = -8 1x = -8 Divide each side by '1'. x = -8 Simplifying x = -8
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