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Simplifying 3(6x + -12) = 2x + 44 Reorder the terms: 3(-12 + 6x) = 2x + 44 (-12 * 3 + 6x * 3) = 2x + 44 (-36 + 18x) = 2x + 44 Reorder the terms: -36 + 18x = 44 + 2x Solving -36 + 18x = 44 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -36 + 18x + -2x = 44 + 2x + -2x Combine like terms: 18x + -2x = 16x -36 + 16x = 44 + 2x + -2x Combine like terms: 2x + -2x = 0 -36 + 16x = 44 + 0 -36 + 16x = 44 Add '36' to each side of the equation. -36 + 36 + 16x = 44 + 36 Combine like terms: -36 + 36 = 0 0 + 16x = 44 + 36 16x = 44 + 36 Combine like terms: 44 + 36 = 80 16x = 80 Divide each side by '16'. x = 5 Simplifying x = 5
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