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Simplifying 7 + 6x + -3 = 7x + 31 + -4x Reorder the terms: 7 + -3 + 6x = 7x + 31 + -4x Combine like terms: 7 + -3 = 4 4 + 6x = 7x + 31 + -4x Reorder the terms: 4 + 6x = 31 + 7x + -4x Combine like terms: 7x + -4x = 3x 4 + 6x = 31 + 3x Solving 4 + 6x = 31 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 4 + 6x + -3x = 31 + 3x + -3x Combine like terms: 6x + -3x = 3x 4 + 3x = 31 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + 3x = 31 + 0 4 + 3x = 31 Add '-4' to each side of the equation. 4 + -4 + 3x = 31 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = 31 + -4 3x = 31 + -4 Combine like terms: 31 + -4 = 27 3x = 27 Divide each side by '3'. x = 9 Simplifying x = 9
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