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Simplifying 4x + 6 = 114 + -5x Reorder the terms: 6 + 4x = 114 + -5x Solving 6 + 4x = 114 + -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. 6 + 4x + 5x = 114 + -5x + 5x Combine like terms: 4x + 5x = 9x 6 + 9x = 114 + -5x + 5x Combine like terms: -5x + 5x = 0 6 + 9x = 114 + 0 6 + 9x = 114 Add '-6' to each side of the equation. 6 + -6 + 9x = 114 + -6 Combine like terms: 6 + -6 = 0 0 + 9x = 114 + -6 9x = 114 + -6 Combine like terms: 114 + -6 = 108 9x = 108 Divide each side by '9'. x = 12 Simplifying x = 12
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