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Simplifying 10x + 4x + -6x + -18 = 46 Reorder the terms: -18 + 10x + 4x + -6x = 46 Combine like terms: 10x + 4x = 14x -18 + 14x + -6x = 46 Combine like terms: 14x + -6x = 8x -18 + 8x = 46 Solving -18 + 8x = 46 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 8x = 46 + 18 Combine like terms: -18 + 18 = 0 0 + 8x = 46 + 18 8x = 46 + 18 Combine like terms: 46 + 18 = 64 8x = 64 Divide each side by '8'. x = 8 Simplifying x = 8
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