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Simplifying 3(x + -2) = -4(x + 5) Reorder the terms: 3(-2 + x) = -4(x + 5) (-2 * 3 + x * 3) = -4(x + 5) (-6 + 3x) = -4(x + 5) Reorder the terms: -6 + 3x = -4(5 + x) -6 + 3x = (5 * -4 + x * -4) -6 + 3x = (-20 + -4x) Solving -6 + 3x = -20 + -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. -6 + 3x + 4x = -20 + -4x + 4x Combine like terms: 3x + 4x = 7x -6 + 7x = -20 + -4x + 4x Combine like terms: -4x + 4x = 0 -6 + 7x = -20 + 0 -6 + 7x = -20 Add '6' to each side of the equation. -6 + 6 + 7x = -20 + 6 Combine like terms: -6 + 6 = 0 0 + 7x = -20 + 6 7x = -20 + 6 Combine like terms: -20 + 6 = -14 7x = -14 Divide each side by '7'. x = -2 Simplifying x = -2
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