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Simplifying 6x + 2 + 3x + -5 = -2x + 10x + 3 Reorder the terms: 2 + -5 + 6x + 3x = -2x + 10x + 3 Combine like terms: 2 + -5 = -3 -3 + 6x + 3x = -2x + 10x + 3 Combine like terms: 6x + 3x = 9x -3 + 9x = -2x + 10x + 3 Reorder the terms: -3 + 9x = 3 + -2x + 10x Combine like terms: -2x + 10x = 8x -3 + 9x = 3 + 8x Solving -3 + 9x = 3 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -3 + 9x + -8x = 3 + 8x + -8x Combine like terms: 9x + -8x = 1x -3 + 1x = 3 + 8x + -8x Combine like terms: 8x + -8x = 0 -3 + 1x = 3 + 0 -3 + 1x = 3 Add '3' to each side of the equation. -3 + 3 + 1x = 3 + 3 Combine like terms: -3 + 3 = 0 0 + 1x = 3 + 3 1x = 3 + 3 Combine like terms: 3 + 3 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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