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Simplifying 8x + 13 = 2x + 7 Reorder the terms: 13 + 8x = 2x + 7 Reorder the terms: 13 + 8x = 7 + 2x Solving 13 + 8x = 7 + 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 + 8x + -2x = 7 + 2x + -2x Combine like terms: 8x + -2x = 6x 13 + 6x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 13 + 6x = 7 + 0 13 + 6x = 7 Add '-13' to each side of the equation. 13 + -13 + 6x = 7 + -13 Combine like terms: 13 + -13 = 0 0 + 6x = 7 + -13 6x = 7 + -13 Combine like terms: 7 + -13 = -6 6x = -6 Divide each side by '6'. x = -1 Simplifying x = -1
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