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Simplifying 8x + 13 = 2x + 43 Reorder the terms: 13 + 8x = 2x + 43 Reorder the terms: 13 + 8x = 43 + 2x Solving 13 + 8x = 43 + 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 = 43 + 2x + -2x Combine like terms: 8x + -2x = 6x 13 + 6x = 43 + 2x + -2x Combine like terms: 2x + -2x = 0 13 + 6x = 43 + 0 13 + 6x = 43 Add '-13' to each side of the equation. 13 + -13 + 6x = 43 + -13 Combine like terms: 13 + -13 = 0 0 + 6x = 43 + -13 6x = 43 + -13 Combine like terms: 43 + -13 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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