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Simplifying 4 + 9x + -3 = 8x + 43 + -6x Reorder the terms: 4 + -3 + 9x = 8x + 43 + -6x Combine like terms: 4 + -3 = 1 1 + 9x = 8x + 43 + -6x Reorder the terms: 1 + 9x = 43 + 8x + -6x Combine like terms: 8x + -6x = 2x 1 + 9x = 43 + 2x Solving 1 + 9x = 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 + 9x + -2x = 43 + 2x + -2x Combine like terms: 9x + -2x = 7x 1 + 7x = 43 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + 7x = 43 + 0 1 + 7x = 43 Add '-1' to each side of the equation. 1 + -1 + 7x = 43 + -1 Combine like terms: 1 + -1 = 0 0 + 7x = 43 + -1 7x = 43 + -1 Combine like terms: 43 + -1 = 42 7x = 42 Divide each side by '7'. x = 6 Simplifying x = 6
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