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Simplifying 2(4x + -3) + 2x = 114 Reorder the terms: 2(-3 + 4x) + 2x = 114 (-3 * 2 + 4x * 2) + 2x = 114 (-6 + 8x) + 2x = 114 Combine like terms: 8x + 2x = 10x -6 + 10x = 114 Solving -6 + 10x = 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 + 10x = 114 + 6 Combine like terms: -6 + 6 = 0 0 + 10x = 114 + 6 10x = 114 + 6 Combine like terms: 114 + 6 = 120 10x = 120 Divide each side by '10'. x = 12 Simplifying x = 12
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