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Simplifying 7(x + 9) + 4 = -4(x + -4) Reorder the terms: 7(9 + x) + 4 = -4(x + -4) (9 * 7 + x * 7) + 4 = -4(x + -4) (63 + 7x) + 4 = -4(x + -4) Reorder the terms: 63 + 4 + 7x = -4(x + -4) Combine like terms: 63 + 4 = 67 67 + 7x = -4(x + -4) Reorder the terms: 67 + 7x = -4(-4 + x) 67 + 7x = (-4 * -4 + x * -4) 67 + 7x = (16 + -4x) Solving 67 + 7x = 16 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 67 + 7x + 4x = 16 + -4x + 4x Combine like terms: 7x + 4x = 11x 67 + 11x = 16 + -4x + 4x Combine like terms: -4x + 4x = 0 67 + 11x = 16 + 0 67 + 11x = 16 Add '-67' to each side of the equation. 67 + -67 + 11x = 16 + -67 Combine like terms: 67 + -67 = 0 0 + 11x = 16 + -67 11x = 16 + -67 Combine like terms: 16 + -67 = -51 11x = -51 Divide each side by '11'. x = -4.636363636 Simplifying x = -4.636363636
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