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Simplifying 6 + 8x + -5 = 8x + 43 + -6x Reorder the terms: 6 + -5 + 8x = 8x + 43 + -6x Combine like terms: 6 + -5 = 1 1 + 8x = 8x + 43 + -6x Reorder the terms: 1 + 8x = 43 + 8x + -6x Combine like terms: 8x + -6x = 2x 1 + 8x = 43 + 2x Solving 1 + 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. 1 + 8x + -2x = 43 + 2x + -2x Combine like terms: 8x + -2x = 6x 1 + 6x = 43 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + 6x = 43 + 0 1 + 6x = 43 Add '-1' to each side of the equation. 1 + -1 + 6x = 43 + -1 Combine like terms: 1 + -1 = 0 0 + 6x = 43 + -1 6x = 43 + -1 Combine like terms: 43 + -1 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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