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Simplifying 7x + -18(16x + -52) = -114 + -71x Reorder the terms: 7x + -18(-52 + 16x) = -114 + -71x 7x + (-52 * -18 + 16x * -18) = -114 + -71x 7x + (936 + -288x) = -114 + -71x Reorder the terms: 936 + 7x + -288x = -114 + -71x Combine like terms: 7x + -288x = -281x 936 + -281x = -114 + -71x Solving 936 + -281x = -114 + -71x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '71x' to each side of the equation. 936 + -281x + 71x = -114 + -71x + 71x Combine like terms: -281x + 71x = -210x 936 + -210x = -114 + -71x + 71x Combine like terms: -71x + 71x = 0 936 + -210x = -114 + 0 936 + -210x = -114 Add '-936' to each side of the equation. 936 + -936 + -210x = -114 + -936 Combine like terms: 936 + -936 = 0 0 + -210x = -114 + -936 -210x = -114 + -936 Combine like terms: -114 + -936 = -1050 -210x = -1050 Divide each side by '-210'. x = 5 Simplifying x = 5
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