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Simplifying -7(x + 7) + 5x = -53 Reorder the terms: -7(7 + x) + 5x = -53 (7 * -7 + x * -7) + 5x = -53 (-49 + -7x) + 5x = -53 Combine like terms: -7x + 5x = -2x -49 + -2x = -53 Solving -49 + -2x = -53 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '49' to each side of the equation. -49 + 49 + -2x = -53 + 49 Combine like terms: -49 + 49 = 0 0 + -2x = -53 + 49 -2x = -53 + 49 Combine like terms: -53 + 49 = -4 -2x = -4 Divide each side by '-2'. x = 2 Simplifying x = 2
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