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Simplifying 6x + 2 + -4x + 1 = 8x + 2 + -1x + 2 Reorder the terms: 2 + 1 + 6x + -4x = 8x + 2 + -1x + 2 Combine like terms: 2 + 1 = 3 3 + 6x + -4x = 8x + 2 + -1x + 2 Combine like terms: 6x + -4x = 2x 3 + 2x = 8x + 2 + -1x + 2 Reorder the terms: 3 + 2x = 2 + 2 + 8x + -1x Combine like terms: 2 + 2 = 4 3 + 2x = 4 + 8x + -1x Combine like terms: 8x + -1x = 7x 3 + 2x = 4 + 7x Solving 3 + 2x = 4 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 3 + 2x + -7x = 4 + 7x + -7x Combine like terms: 2x + -7x = -5x 3 + -5x = 4 + 7x + -7x Combine like terms: 7x + -7x = 0 3 + -5x = 4 + 0 3 + -5x = 4 Add '-3' to each side of the equation. 3 + -3 + -5x = 4 + -3 Combine like terms: 3 + -3 = 0 0 + -5x = 4 + -3 -5x = 4 + -3 Combine like terms: 4 + -3 = 1 -5x = 1 Divide each side by '-5'. x = -0.2 Simplifying x = -0.2
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