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Simplifying -8(3x + -1) + 4(x + -7) = 60 Reorder the terms: -8(-1 + 3x) + 4(x + -7) = 60 (-1 * -8 + 3x * -8) + 4(x + -7) = 60 (8 + -24x) + 4(x + -7) = 60 Reorder the terms: 8 + -24x + 4(-7 + x) = 60 8 + -24x + (-7 * 4 + x * 4) = 60 8 + -24x + (-28 + 4x) = 60 Reorder the terms: 8 + -28 + -24x + 4x = 60 Combine like terms: 8 + -28 = -20 -20 + -24x + 4x = 60 Combine like terms: -24x + 4x = -20x -20 + -20x = 60 Solving -20 + -20x = 60 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 + -20x = 60 + 20 Combine like terms: -20 + 20 = 0 0 + -20x = 60 + 20 -20x = 60 + 20 Combine like terms: 60 + 20 = 80 -20x = 80 Divide each side by '-20'. x = -4 Simplifying x = -4
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