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Simplifying 7[4 + -1(-5x + -7)] = 210x + 322 Reorder the terms: 7[4 + -1(-7 + -5x)] = 210x + 322 7[4 + (-7 * -1 + -5x * -1)] = 210x + 322 7[4 + (7 + 5x)] = 210x + 322 Combine like terms: 4 + 7 = 11 7[11 + 5x] = 210x + 322 [11 * 7 + 5x * 7] = 210x + 322 [77 + 35x] = 210x + 322 Reorder the terms: 77 + 35x = 322 + 210x Solving 77 + 35x = 322 + 210x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-210x' to each side of the equation. 77 + 35x + -210x = 322 + 210x + -210x Combine like terms: 35x + -210x = -175x 77 + -175x = 322 + 210x + -210x Combine like terms: 210x + -210x = 0 77 + -175x = 322 + 0 77 + -175x = 322 Add '-77' to each side of the equation. 77 + -77 + -175x = 322 + -77 Combine like terms: 77 + -77 = 0 0 + -175x = 322 + -77 -175x = 322 + -77 Combine like terms: 322 + -77 = 245 -175x = 245 Divide each side by '-175'. x = -1.4 Simplifying x = -1.4
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