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Simplifying -14x + -7 = 24x + 31 Reorder the terms: -7 + -14x = 24x + 31 Reorder the terms: -7 + -14x = 31 + 24x Solving -7 + -14x = 31 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -7 + -14x + -24x = 31 + 24x + -24x Combine like terms: -14x + -24x = -38x -7 + -38x = 31 + 24x + -24x Combine like terms: 24x + -24x = 0 -7 + -38x = 31 + 0 -7 + -38x = 31 Add '7' to each side of the equation. -7 + 7 + -38x = 31 + 7 Combine like terms: -7 + 7 = 0 0 + -38x = 31 + 7 -38x = 31 + 7 Combine like terms: 31 + 7 = 38 -38x = 38 Divide each side by '-38'. x = -1 Simplifying x = -1
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