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Simplifying 5x + -3x + 2 = 6x + 2x + 13 Reorder the terms: 2 + 5x + -3x = 6x + 2x + 13 Combine like terms: 5x + -3x = 2x 2 + 2x = 6x + 2x + 13 Reorder the terms: 2 + 2x = 13 + 6x + 2x Combine like terms: 6x + 2x = 8x 2 + 2x = 13 + 8x Solving 2 + 2x = 13 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 2 + 2x + -8x = 13 + 8x + -8x Combine like terms: 2x + -8x = -6x 2 + -6x = 13 + 8x + -8x Combine like terms: 8x + -8x = 0 2 + -6x = 13 + 0 2 + -6x = 13 Add '-2' to each side of the equation. 2 + -2 + -6x = 13 + -2 Combine like terms: 2 + -2 = 0 0 + -6x = 13 + -2 -6x = 13 + -2 Combine like terms: 13 + -2 = 11 -6x = 11 Divide each side by '-6'. x = -1.833333333 Simplifying x = -1.833333333
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