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Simplifying 4x + -3(2) + 2x = 114 Multiply -3 * 2 4x + -6 + 2x = 114 Reorder the terms: -6 + 4x + 2x = 114 Combine like terms: 4x + 2x = 6x -6 + 6x = 114 Solving -6 + 6x = 114 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 6x = 114 + 6 Combine like terms: -6 + 6 = 0 0 + 6x = 114 + 6 6x = 114 + 6 Combine like terms: 114 + 6 = 120 6x = 120 Divide each side by '6'. x = 20 Simplifying x = 20
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