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Simplifying -2(x + 37) + 7 = 47 Reorder the terms: -2(37 + x) + 7 = 47 (37 * -2 + x * -2) + 7 = 47 (-74 + -2x) + 7 = 47 Reorder the terms: -74 + 7 + -2x = 47 Combine like terms: -74 + 7 = -67 -67 + -2x = 47 Solving -67 + -2x = 47 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '67' to each side of the equation. -67 + 67 + -2x = 47 + 67 Combine like terms: -67 + 67 = 0 0 + -2x = 47 + 67 -2x = 47 + 67 Combine like terms: 47 + 67 = 114 -2x = 114 Divide each side by '-2'. x = -57 Simplifying x = -57
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