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Simplifying 8(3x + -6) + 4(-5x + -1) = 8 Reorder the terms: 8(-6 + 3x) + 4(-5x + -1) = 8 (-6 * 8 + 3x * 8) + 4(-5x + -1) = 8 (-48 + 24x) + 4(-5x + -1) = 8 Reorder the terms: -48 + 24x + 4(-1 + -5x) = 8 -48 + 24x + (-1 * 4 + -5x * 4) = 8 -48 + 24x + (-4 + -20x) = 8 Reorder the terms: -48 + -4 + 24x + -20x = 8 Combine like terms: -48 + -4 = -52 -52 + 24x + -20x = 8 Combine like terms: 24x + -20x = 4x -52 + 4x = 8 Solving -52 + 4x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '52' to each side of the equation. -52 + 52 + 4x = 8 + 52 Combine like terms: -52 + 52 = 0 0 + 4x = 8 + 52 4x = 8 + 52 Combine like terms: 8 + 52 = 60 4x = 60 Divide each side by '4'. x = 15 Simplifying x = 15
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