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Simplifying -2(3x + 7) = 4(x + -6) Reorder the terms: -2(7 + 3x) = 4(x + -6) (7 * -2 + 3x * -2) = 4(x + -6) (-14 + -6x) = 4(x + -6) Reorder the terms: -14 + -6x = 4(-6 + x) -14 + -6x = (-6 * 4 + x * 4) -14 + -6x = (-24 + 4x) Solving -14 + -6x = -24 + 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 + -6x + -4x = -24 + 4x + -4x Combine like terms: -6x + -4x = -10x -14 + -10x = -24 + 4x + -4x Combine like terms: 4x + -4x = 0 -14 + -10x = -24 + 0 -14 + -10x = -24 Add '14' to each side of the equation. -14 + 14 + -10x = -24 + 14 Combine like terms: -14 + 14 = 0 0 + -10x = -24 + 14 -10x = -24 + 14 Combine like terms: -24 + 14 = -10 -10x = -10 Divide each side by '-10'. x = 1 Simplifying x = 1
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