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Simplifying -6x + 7 = -3x + 31 Reorder the terms: 7 + -6x = -3x + 31 Reorder the terms: 7 + -6x = 31 + -3x Solving 7 + -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. 7 + -6x + 3x = 31 + -3x + 3x Combine like terms: -6x + 3x = -3x 7 + -3x = 31 + -3x + 3x Combine like terms: -3x + 3x = 0 7 + -3x = 31 + 0 7 + -3x = 31 Add '-7' to each side of the equation. 7 + -7 + -3x = 31 + -7 Combine like terms: 7 + -7 = 0 0 + -3x = 31 + -7 -3x = 31 + -7 Combine like terms: 31 + -7 = 24 -3x = 24 Divide each side by '-3'. x = -8 Simplifying x = -8
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