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Simplifying 7 + 6x + -6 = 9x + 37 + -7x Reorder the terms: 7 + -6 + 6x = 9x + 37 + -7x Combine like terms: 7 + -6 = 1 1 + 6x = 9x + 37 + -7x Reorder the terms: 1 + 6x = 37 + 9x + -7x Combine like terms: 9x + -7x = 2x 1 + 6x = 37 + 2x Solving 1 + 6x = 37 + 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 = 37 + 2x + -2x Combine like terms: 6x + -2x = 4x 1 + 4x = 37 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + 4x = 37 + 0 1 + 4x = 37 Add '-1' to each side of the equation. 1 + -1 + 4x = 37 + -1 Combine like terms: 1 + -1 = 0 0 + 4x = 37 + -1 4x = 37 + -1 Combine like terms: 37 + -1 = 36 4x = 36 Divide each side by '4'. x = 9 Simplifying x = 9
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