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Simplifying -2x + -3 + 6x + -4 + 2 = 6 + -2x + 4x + -3 Reorder the terms: -3 + -4 + 2 + -2x + 6x = 6 + -2x + 4x + -3 Combine like terms: -3 + -4 = -7 -7 + 2 + -2x + 6x = 6 + -2x + 4x + -3 Combine like terms: -7 + 2 = -5 -5 + -2x + 6x = 6 + -2x + 4x + -3 Combine like terms: -2x + 6x = 4x -5 + 4x = 6 + -2x + 4x + -3 Reorder the terms: -5 + 4x = 6 + -3 + -2x + 4x Combine like terms: 6 + -3 = 3 -5 + 4x = 3 + -2x + 4x Combine like terms: -2x + 4x = 2x -5 + 4x = 3 + 2x Solving -5 + 4x = 3 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -5 + 4x + -2x = 3 + 2x + -2x Combine like terms: 4x + -2x = 2x -5 + 2x = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 -5 + 2x = 3 + 0 -5 + 2x = 3 Add '5' to each side of the equation. -5 + 5 + 2x = 3 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = 3 + 5 2x = 3 + 5 Combine like terms: 3 + 5 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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