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Simplifying 5x + 2 + -3x + 1 = 8x + 1 + -1x + 6 Reorder the terms: 2 + 1 + 5x + -3x = 8x + 1 + -1x + 6 Combine like terms: 2 + 1 = 3 3 + 5x + -3x = 8x + 1 + -1x + 6 Combine like terms: 5x + -3x = 2x 3 + 2x = 8x + 1 + -1x + 6 Reorder the terms: 3 + 2x = 1 + 6 + 8x + -1x Combine like terms: 1 + 6 = 7 3 + 2x = 7 + 8x + -1x Combine like terms: 8x + -1x = 7x 3 + 2x = 7 + 7x Solving 3 + 2x = 7 + 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 = 7 + 7x + -7x Combine like terms: 2x + -7x = -5x 3 + -5x = 7 + 7x + -7x Combine like terms: 7x + -7x = 0 3 + -5x = 7 + 0 3 + -5x = 7 Add '-3' to each side of the equation. 3 + -3 + -5x = 7 + -3 Combine like terms: 3 + -3 = 0 0 + -5x = 7 + -3 -5x = 7 + -3 Combine like terms: 7 + -3 = 4 -5x = 4 Divide each side by '-5'. x = -0.8 Simplifying x = -0.8
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