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Simplifying -142 + 5x = 101 + -4x Solving -142 + 5x = 101 + -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. -142 + 5x + 4x = 101 + -4x + 4x Combine like terms: 5x + 4x = 9x -142 + 9x = 101 + -4x + 4x Combine like terms: -4x + 4x = 0 -142 + 9x = 101 + 0 -142 + 9x = 101 Add '142' to each side of the equation. -142 + 142 + 9x = 101 + 142 Combine like terms: -142 + 142 = 0 0 + 9x = 101 + 142 9x = 101 + 142 Combine like terms: 101 + 142 = 243 9x = 243 Divide each side by '9'. x = 27 Simplifying x = 27
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