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Simplifying 6x + 1 + -2x = 5x + 8 + -3x Reorder the terms: 1 + 6x + -2x = 5x + 8 + -3x Combine like terms: 6x + -2x = 4x 1 + 4x = 5x + 8 + -3x Reorder the terms: 1 + 4x = 8 + 5x + -3x Combine like terms: 5x + -3x = 2x 1 + 4x = 8 + 2x Solving 1 + 4x = 8 + 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. 1 + 4x + -2x = 8 + 2x + -2x Combine like terms: 4x + -2x = 2x 1 + 2x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + 2x = 8 + 0 1 + 2x = 8 Add '-1' to each side of the equation. 1 + -1 + 2x = 8 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 8 + -1 2x = 8 + -1 Combine like terms: 8 + -1 = 7 2x = 7 Divide each side by '2'. x = 3.5 Simplifying x = 3.5
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