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Simplifying 7(4x + -2) + 2(8x + -2) = 378 Reorder the terms: 7(-2 + 4x) + 2(8x + -2) = 378 (-2 * 7 + 4x * 7) + 2(8x + -2) = 378 (-14 + 28x) + 2(8x + -2) = 378 Reorder the terms: -14 + 28x + 2(-2 + 8x) = 378 -14 + 28x + (-2 * 2 + 8x * 2) = 378 -14 + 28x + (-4 + 16x) = 378 Reorder the terms: -14 + -4 + 28x + 16x = 378 Combine like terms: -14 + -4 = -18 -18 + 28x + 16x = 378 Combine like terms: 28x + 16x = 44x -18 + 44x = 378 Solving -18 + 44x = 378 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 + 44x = 378 + 18 Combine like terms: -18 + 18 = 0 0 + 44x = 378 + 18 44x = 378 + 18 Combine like terms: 378 + 18 = 396 44x = 396 Divide each side by '44'. x = 9 Simplifying x = 9
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