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