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Simplifying -2(3x + -7) = 3(x + -4) Reorder the terms: -2(-7 + 3x) = 3(x + -4) (-7 * -2 + 3x * -2) = 3(x + -4) (14 + -6x) = 3(x + -4) Reorder the terms: 14 + -6x = 3(-4 + x) 14 + -6x = (-4 * 3 + x * 3) 14 + -6x = (-12 + 3x) Solving 14 + -6x = -12 + 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. 14 + -6x + -3x = -12 + 3x + -3x Combine like terms: -6x + -3x = -9x 14 + -9x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 14 + -9x = -12 + 0 14 + -9x = -12 Add '-14' to each side of the equation. 14 + -14 + -9x = -12 + -14 Combine like terms: 14 + -14 = 0 0 + -9x = -12 + -14 -9x = -12 + -14 Combine like terms: -12 + -14 = -26 -9x = -26 Divide each side by '-9'. x = 2.888888889 Simplifying x = 2.888888889
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