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Simplifying 7(x + 7) = 4[x + -1(9 + -1x)] Reorder the terms: 7(7 + x) = 4[x + -1(9 + -1x)] (7 * 7 + x * 7) = 4[x + -1(9 + -1x)] (49 + 7x) = 4[x + -1(9 + -1x)] 49 + 7x = 4[x + (9 * -1 + -1x * -1)] 49 + 7x = 4[x + (-9 + 1x)] Reorder the terms: 49 + 7x = 4[-9 + x + 1x] Combine like terms: x + 1x = 2x 49 + 7x = 4[-9 + 2x] 49 + 7x = [-9 * 4 + 2x * 4] 49 + 7x = [-36 + 8x] Solving 49 + 7x = -36 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 49 + 7x + -8x = -36 + 8x + -8x Combine like terms: 7x + -8x = -1x 49 + -1x = -36 + 8x + -8x Combine like terms: 8x + -8x = 0 49 + -1x = -36 + 0 49 + -1x = -36 Add '-49' to each side of the equation. 49 + -49 + -1x = -36 + -49 Combine like terms: 49 + -49 = 0 0 + -1x = -36 + -49 -1x = -36 + -49 Combine like terms: -36 + -49 = -85 -1x = -85 Divide each side by '-1'. x = 85 Simplifying x = 85
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