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