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Simplifying 6x + 13 = 69 + -2x Reorder the terms: 13 + 6x = 69 + -2x Solving 13 + 6x = 69 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 13 + 6x + 2x = 69 + -2x + 2x Combine like terms: 6x + 2x = 8x 13 + 8x = 69 + -2x + 2x Combine like terms: -2x + 2x = 0 13 + 8x = 69 + 0 13 + 8x = 69 Add '-13' to each side of the equation. 13 + -13 + 8x = 69 + -13 Combine like terms: 13 + -13 = 0 0 + 8x = 69 + -13 8x = 69 + -13 Combine like terms: 69 + -13 = 56 8x = 56 Divide each side by '8'. x = 7 Simplifying x = 7
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