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Simplifying 6x + -6 + 3x + 1 = 43 + x Reorder the terms: -6 + 1 + 6x + 3x = 43 + x Combine like terms: -6 + 1 = -5 -5 + 6x + 3x = 43 + x Combine like terms: 6x + 3x = 9x -5 + 9x = 43 + x Solving -5 + 9x = 43 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -5 + 9x + -1x = 43 + x + -1x Combine like terms: 9x + -1x = 8x -5 + 8x = 43 + x + -1x Combine like terms: x + -1x = 0 -5 + 8x = 43 + 0 -5 + 8x = 43 Add '5' to each side of the equation. -5 + 5 + 8x = 43 + 5 Combine like terms: -5 + 5 = 0 0 + 8x = 43 + 5 8x = 43 + 5 Combine like terms: 43 + 5 = 48 8x = 48 Divide each side by '8'. x = 6 Simplifying x = 6
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