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Simplifying 9 + 6x + -8 = 6x + 33 + -4x Reorder the terms: 9 + -8 + 6x = 6x + 33 + -4x Combine like terms: 9 + -8 = 1 1 + 6x = 6x + 33 + -4x Reorder the terms: 1 + 6x = 33 + 6x + -4x Combine like terms: 6x + -4x = 2x 1 + 6x = 33 + 2x Solving 1 + 6x = 33 + 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 + 6x + -2x = 33 + 2x + -2x Combine like terms: 6x + -2x = 4x 1 + 4x = 33 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + 4x = 33 + 0 1 + 4x = 33 Add '-1' to each side of the equation. 1 + -1 + 4x = 33 + -1 Combine like terms: 1 + -1 = 0 0 + 4x = 33 + -1 4x = 33 + -1 Combine like terms: 33 + -1 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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