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Simplifying -7(5x + 7) + -2(x + 4) = -20 Reorder the terms: -7(7 + 5x) + -2(x + 4) = -20 (7 * -7 + 5x * -7) + -2(x + 4) = -20 (-49 + -35x) + -2(x + 4) = -20 Reorder the terms: -49 + -35x + -2(4 + x) = -20 -49 + -35x + (4 * -2 + x * -2) = -20 -49 + -35x + (-8 + -2x) = -20 Reorder the terms: -49 + -8 + -35x + -2x = -20 Combine like terms: -49 + -8 = -57 -57 + -35x + -2x = -20 Combine like terms: -35x + -2x = -37x -57 + -37x = -20 Solving -57 + -37x = -20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '57' to each side of the equation. -57 + 57 + -37x = -20 + 57 Combine like terms: -57 + 57 = 0 0 + -37x = -20 + 57 -37x = -20 + 57 Combine like terms: -20 + 57 = 37 -37x = 37 Divide each side by '-37'. x = -1 Simplifying x = -1
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