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Simplifying -114 + 9x = 42 + -4x Solving -114 + 9x = 42 + -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. -114 + 9x + 4x = 42 + -4x + 4x Combine like terms: 9x + 4x = 13x -114 + 13x = 42 + -4x + 4x Combine like terms: -4x + 4x = 0 -114 + 13x = 42 + 0 -114 + 13x = 42 Add '114' to each side of the equation. -114 + 114 + 13x = 42 + 114 Combine like terms: -114 + 114 = 0 0 + 13x = 42 + 114 13x = 42 + 114 Combine like terms: 42 + 114 = 156 13x = 156 Divide each side by '13'. x = 12 Simplifying x = 12
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