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Simplifying 3x + -6 + -4x = 5 + 3x + -9 Reorder the terms: -6 + 3x + -4x = 5 + 3x + -9 Combine like terms: 3x + -4x = -1x -6 + -1x = 5 + 3x + -9 Reorder the terms: -6 + -1x = 5 + -9 + 3x Combine like terms: 5 + -9 = -4 -6 + -1x = -4 + 3x Solving -6 + -1x = -4 + 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. -6 + -1x + -3x = -4 + 3x + -3x Combine like terms: -1x + -3x = -4x -6 + -4x = -4 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + -4x = -4 + 0 -6 + -4x = -4 Add '6' to each side of the equation. -6 + 6 + -4x = -4 + 6 Combine like terms: -6 + 6 = 0 0 + -4x = -4 + 6 -4x = -4 + 6 Combine like terms: -4 + 6 = 2 -4x = 2 Divide each side by '-4'. x = -0.5 Simplifying x = -0.5
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