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Simplifying 8x + 2 + -6x + 1 = 7x + 4 + -1x + 2 Reorder the terms: 2 + 1 + 8x + -6x = 7x + 4 + -1x + 2 Combine like terms: 2 + 1 = 3 3 + 8x + -6x = 7x + 4 + -1x + 2 Combine like terms: 8x + -6x = 2x 3 + 2x = 7x + 4 + -1x + 2 Reorder the terms: 3 + 2x = 4 + 2 + 7x + -1x Combine like terms: 4 + 2 = 6 3 + 2x = 6 + 7x + -1x Combine like terms: 7x + -1x = 6x 3 + 2x = 6 + 6x Solving 3 + 2x = 6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 3 + 2x + -6x = 6 + 6x + -6x Combine like terms: 2x + -6x = -4x 3 + -4x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 3 + -4x = 6 + 0 3 + -4x = 6 Add '-3' to each side of the equation. 3 + -3 + -4x = 6 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 6 + -3 -4x = 6 + -3 Combine like terms: 6 + -3 = 3 -4x = 3 Divide each side by '-4'. x = -0.75 Simplifying x = -0.75
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