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Simplifying -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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