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Simplifying -5x + -71 = 4x + 100 Reorder the terms: -71 + -5x = 4x + 100 Reorder the terms: -71 + -5x = 100 + 4x Solving -71 + -5x = 100 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -71 + -5x + -4x = 100 + 4x + -4x Combine like terms: -5x + -4x = -9x -71 + -9x = 100 + 4x + -4x Combine like terms: 4x + -4x = 0 -71 + -9x = 100 + 0 -71 + -9x = 100 Add '71' to each side of the equation. -71 + 71 + -9x = 100 + 71 Combine like terms: -71 + 71 = 0 0 + -9x = 100 + 71 -9x = 100 + 71 Combine like terms: 100 + 71 = 171 -9x = 171 Divide each side by '-9'. x = -19 Simplifying x = -19
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