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Simplifying 5x + -3x + -6 = -8 + 4x + 10 Reorder the terms: -6 + 5x + -3x = -8 + 4x + 10 Combine like terms: 5x + -3x = 2x -6 + 2x = -8 + 4x + 10 Reorder the terms: -6 + 2x = -8 + 10 + 4x Combine like terms: -8 + 10 = 2 -6 + 2x = 2 + 4x Solving -6 + 2x = 2 + 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 + 2x + -4x = 2 + 4x + -4x Combine like terms: 2x + -4x = -2x -6 + -2x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + -2x = 2 + 0 -6 + -2x = 2 Add '6' to each side of the equation. -6 + 6 + -2x = 2 + 6 Combine like terms: -6 + 6 = 0 0 + -2x = 2 + 6 -2x = 2 + 6 Combine like terms: 2 + 6 = 8 -2x = 8 Divide each side by '-2'. x = -4 Simplifying x = -4
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