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Simplifying 3x + -2 = -2x + 5 + 4x + 8 Reorder the terms: -2 + 3x = -2x + 5 + 4x + 8 Reorder the terms: -2 + 3x = 5 + 8 + -2x + 4x Combine like terms: 5 + 8 = 13 -2 + 3x = 13 + -2x + 4x Combine like terms: -2x + 4x = 2x -2 + 3x = 13 + 2x Solving -2 + 3x = 13 + 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. -2 + 3x + -2x = 13 + 2x + -2x Combine like terms: 3x + -2x = 1x -2 + 1x = 13 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + 1x = 13 + 0 -2 + 1x = 13 Add '2' to each side of the equation. -2 + 2 + 1x = 13 + 2 Combine like terms: -2 + 2 = 0 0 + 1x = 13 + 2 1x = 13 + 2 Combine like terms: 13 + 2 = 15 1x = 15 Divide each side by '1'. x = 15 Simplifying x = 15
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