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Simplifying -9(x + 9) = 7(4 + x) + 51 Reorder the terms: -9(9 + x) = 7(4 + x) + 51 (9 * -9 + x * -9) = 7(4 + x) + 51 (-81 + -9x) = 7(4 + x) + 51 -81 + -9x = (4 * 7 + x * 7) + 51 -81 + -9x = (28 + 7x) + 51 Reorder the terms: -81 + -9x = 28 + 51 + 7x Combine like terms: 28 + 51 = 79 -81 + -9x = 79 + 7x Solving -81 + -9x = 79 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -81 + -9x + -7x = 79 + 7x + -7x Combine like terms: -9x + -7x = -16x -81 + -16x = 79 + 7x + -7x Combine like terms: 7x + -7x = 0 -81 + -16x = 79 + 0 -81 + -16x = 79 Add '81' to each side of the equation. -81 + 81 + -16x = 79 + 81 Combine like terms: -81 + 81 = 0 0 + -16x = 79 + 81 -16x = 79 + 81 Combine like terms: 79 + 81 = 160 -16x = 160 Divide each side by '-16'. x = -10 Simplifying x = -10
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