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Simplifying 2x + 3x + 4x + -6 = 5x + -10 Reorder the terms: -6 + 2x + 3x + 4x = 5x + -10 Combine like terms: 2x + 3x = 5x -6 + 5x + 4x = 5x + -10 Combine like terms: 5x + 4x = 9x -6 + 9x = 5x + -10 Reorder the terms: -6 + 9x = -10 + 5x Solving -6 + 9x = -10 + 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. -6 + 9x + -5x = -10 + 5x + -5x Combine like terms: 9x + -5x = 4x -6 + 4x = -10 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + 4x = -10 + 0 -6 + 4x = -10 Add '6' to each side of the equation. -6 + 6 + 4x = -10 + 6 Combine like terms: -6 + 6 = 0 0 + 4x = -10 + 6 4x = -10 + 6 Combine like terms: -10 + 6 = -4 4x = -4 Divide each side by '4'. x = -1 Simplifying x = -1
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