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Simplifying 4(4X + 12) + -30 = 6(X + -2) Reorder the terms: 4(12 + 4X) + -30 = 6(X + -2) (12 * 4 + 4X * 4) + -30 = 6(X + -2) (48 + 16X) + -30 = 6(X + -2) Reorder the terms: 48 + -30 + 16X = 6(X + -2) Combine like terms: 48 + -30 = 18 18 + 16X = 6(X + -2) Reorder the terms: 18 + 16X = 6(-2 + X) 18 + 16X = (-2 * 6 + X * 6) 18 + 16X = (-12 + 6X) Solving 18 + 16X = -12 + 6X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-6X' to each side of the equation. 18 + 16X + -6X = -12 + 6X + -6X Combine like terms: 16X + -6X = 10X 18 + 10X = -12 + 6X + -6X Combine like terms: 6X + -6X = 0 18 + 10X = -12 + 0 18 + 10X = -12 Add '-18' to each side of the equation. 18 + -18 + 10X = -12 + -18 Combine like terms: 18 + -18 = 0 0 + 10X = -12 + -18 10X = -12 + -18 Combine like terms: -12 + -18 = -30 10X = -30 Divide each side by '10'. X = -3 Simplifying X = -3
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