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Simplifying 6x + -4 + 2(x + 1) = 46 Reorder the terms: 6x + -4 + 2(1 + x) = 46 6x + -4 + (1 * 2 + x * 2) = 46 6x + -4 + (2 + 2x) = 46 Reorder the terms: -4 + 2 + 6x + 2x = 46 Combine like terms: -4 + 2 = -2 -2 + 6x + 2x = 46 Combine like terms: 6x + 2x = 8x -2 + 8x = 46 Solving -2 + 8x = 46 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 8x = 46 + 2 Combine like terms: -2 + 2 = 0 0 + 8x = 46 + 2 8x = 46 + 2 Combine like terms: 46 + 2 = 48 8x = 48 Divide each side by '8'. x = 6 Simplifying x = 6
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