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Simplifying 8x + 13 = 6x + 55 Reorder the terms: 13 + 8x = 6x + 55 Reorder the terms: 13 + 8x = 55 + 6x Solving 13 + 8x = 55 + 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. 13 + 8x + -6x = 55 + 6x + -6x Combine like terms: 8x + -6x = 2x 13 + 2x = 55 + 6x + -6x Combine like terms: 6x + -6x = 0 13 + 2x = 55 + 0 13 + 2x = 55 Add '-13' to each side of the equation. 13 + -13 + 2x = 55 + -13 Combine like terms: 13 + -13 = 0 0 + 2x = 55 + -13 2x = 55 + -13 Combine like terms: 55 + -13 = 42 2x = 42 Divide each side by '2'. x = 21 Simplifying x = 21
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