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Simplifying 7(x + 9) = 4(x + -2) Reorder the terms: 7(9 + x) = 4(x + -2) (9 * 7 + x * 7) = 4(x + -2) (63 + 7x) = 4(x + -2) Reorder the terms: 63 + 7x = 4(-2 + x) 63 + 7x = (-2 * 4 + x * 4) 63 + 7x = (-8 + 4x) Solving 63 + 7x = -8 + 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. 63 + 7x + -4x = -8 + 4x + -4x Combine like terms: 7x + -4x = 3x 63 + 3x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 63 + 3x = -8 + 0 63 + 3x = -8 Add '-63' to each side of the equation. 63 + -63 + 3x = -8 + -63 Combine like terms: 63 + -63 = 0 0 + 3x = -8 + -63 3x = -8 + -63 Combine like terms: -8 + -63 = -71 3x = -71 Divide each side by '3'. x = -23.66666667 Simplifying x = -23.66666667
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