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Simplifying x * 11 + -114 = x * 5 + -12 Reorder the terms for easier multiplication: 11x + -114 = x * 5 + -12 Reorder the terms: -114 + 11x = x * 5 + -12 Reorder the terms for easier multiplication: -114 + 11x = 5x + -12 Reorder the terms: -114 + 11x = -12 + 5x Solving -114 + 11x = -12 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -114 + 11x + -5x = -12 + 5x + -5x Combine like terms: 11x + -5x = 6x -114 + 6x = -12 + 5x + -5x Combine like terms: 5x + -5x = 0 -114 + 6x = -12 + 0 -114 + 6x = -12 Add '114' to each side of the equation. -114 + 114 + 6x = -12 + 114 Combine like terms: -114 + 114 = 0 0 + 6x = -12 + 114 6x = -12 + 114 Combine like terms: -12 + 114 = 102 6x = 102 Divide each side by '6'. x = 17 Simplifying x = 17
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