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Simplifying -8(2 + -6x) + -4(1 + 5x) = -48 (2 * -8 + -6x * -8) + -4(1 + 5x) = -48 (-16 + 48x) + -4(1 + 5x) = -48 -16 + 48x + (1 * -4 + 5x * -4) = -48 -16 + 48x + (-4 + -20x) = -48 Reorder the terms: -16 + -4 + 48x + -20x = -48 Combine like terms: -16 + -4 = -20 -20 + 48x + -20x = -48 Combine like terms: 48x + -20x = 28x -20 + 28x = -48 Solving -20 + 28x = -48 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 28x = -48 + 20 Combine like terms: -20 + 20 = 0 0 + 28x = -48 + 20 28x = -48 + 20 Combine like terms: -48 + 20 = -28 28x = -28 Divide each side by '28'. x = -1 Simplifying x = -1
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