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Simplifying 3(x + -2) + (4x + -6) = 5(x + -4) Reorder the terms: 3(-2 + x) + (4x + -6) = 5(x + -4) (-2 * 3 + x * 3) + (4x + -6) = 5(x + -4) (-6 + 3x) + (4x + -6) = 5(x + -4) Reorder the terms: -6 + 3x + (-6 + 4x) = 5(x + -4) Remove parenthesis around (-6 + 4x) -6 + 3x + -6 + 4x = 5(x + -4) Reorder the terms: -6 + -6 + 3x + 4x = 5(x + -4) Combine like terms: -6 + -6 = -12 -12 + 3x + 4x = 5(x + -4) Combine like terms: 3x + 4x = 7x -12 + 7x = 5(x + -4) Reorder the terms: -12 + 7x = 5(-4 + x) -12 + 7x = (-4 * 5 + x * 5) -12 + 7x = (-20 + 5x) Solving -12 + 7x = -20 + 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 + 7x + -5x = -20 + 5x + -5x Combine like terms: 7x + -5x = 2x -12 + 2x = -20 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + 2x = -20 + 0 -12 + 2x = -20 Add '12' to each side of the equation. -12 + 12 + 2x = -20 + 12 Combine like terms: -12 + 12 = 0 0 + 2x = -20 + 12 2x = -20 + 12 Combine like terms: -20 + 12 = -8 2x = -8 Divide each side by '2'. x = -4 Simplifying x = -4
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