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Simplifying 3x + -2 + -5x = 2 + -1(4x + -6) Reorder the terms: -2 + 3x + -5x = 2 + -1(4x + -6) Combine like terms: 3x + -5x = -2x -2 + -2x = 2 + -1(4x + -6) Reorder the terms: -2 + -2x = 2 + -1(-6 + 4x) -2 + -2x = 2 + (-6 * -1 + 4x * -1) -2 + -2x = 2 + (6 + -4x) Combine like terms: 2 + 6 = 8 -2 + -2x = 8 + -4x Solving -2 + -2x = 8 + -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. -2 + -2x + 4x = 8 + -4x + 4x Combine like terms: -2x + 4x = 2x -2 + 2x = 8 + -4x + 4x Combine like terms: -4x + 4x = 0 -2 + 2x = 8 + 0 -2 + 2x = 8 Add '2' to each side of the equation. -2 + 2 + 2x = 8 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = 8 + 2 2x = 8 + 2 Combine like terms: 8 + 2 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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