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Simplifying 3(4x + -6) + -2(-2x + 8) = 46 Reorder the terms: 3(-6 + 4x) + -2(-2x + 8) = 46 (-6 * 3 + 4x * 3) + -2(-2x + 8) = 46 (-18 + 12x) + -2(-2x + 8) = 46 Reorder the terms: -18 + 12x + -2(8 + -2x) = 46 -18 + 12x + (8 * -2 + -2x * -2) = 46 -18 + 12x + (-16 + 4x) = 46 Reorder the terms: -18 + -16 + 12x + 4x = 46 Combine like terms: -18 + -16 = -34 -34 + 12x + 4x = 46 Combine like terms: 12x + 4x = 16x -34 + 16x = 46 Solving -34 + 16x = 46 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '34' to each side of the equation. -34 + 34 + 16x = 46 + 34 Combine like terms: -34 + 34 = 0 0 + 16x = 46 + 34 16x = 46 + 34 Combine like terms: 46 + 34 = 80 16x = 80 Divide each side by '16'. x = 5 Simplifying x = 5
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