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Simplifying 3x + -2 + 2x + 8 = 4x + -2 + 5x + -2 Reorder the terms: -2 + 8 + 3x + 2x = 4x + -2 + 5x + -2 Combine like terms: -2 + 8 = 6 6 + 3x + 2x = 4x + -2 + 5x + -2 Combine like terms: 3x + 2x = 5x 6 + 5x = 4x + -2 + 5x + -2 Reorder the terms: 6 + 5x = -2 + -2 + 4x + 5x Combine like terms: -2 + -2 = -4 6 + 5x = -4 + 4x + 5x Combine like terms: 4x + 5x = 9x 6 + 5x = -4 + 9x Solving 6 + 5x = -4 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 6 + 5x + -9x = -4 + 9x + -9x Combine like terms: 5x + -9x = -4x 6 + -4x = -4 + 9x + -9x Combine like terms: 9x + -9x = 0 6 + -4x = -4 + 0 6 + -4x = -4 Add '-6' to each side of the equation. 6 + -6 + -4x = -4 + -6 Combine like terms: 6 + -6 = 0 0 + -4x = -4 + -6 -4x = -4 + -6 Combine like terms: -4 + -6 = -10 -4x = -10 Divide each side by '-4'. x = 2.5 Simplifying x = 2.5
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