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Simplifying 8(3x + -4) + 2x = 46 Reorder the terms: 8(-4 + 3x) + 2x = 46 (-4 * 8 + 3x * 8) + 2x = 46 (-32 + 24x) + 2x = 46 Combine like terms: 24x + 2x = 26x -32 + 26x = 46 Solving -32 + 26x = 46 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 26x = 46 + 32 Combine like terms: -32 + 32 = 0 0 + 26x = 46 + 32 26x = 46 + 32 Combine like terms: 46 + 32 = 78 26x = 78 Divide each side by '26'. x = 3 Simplifying x = 3
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