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Simplifying 8(6 + 4x) + 24 = -16 + 2(x + 7) (6 * 8 + 4x * 8) + 24 = -16 + 2(x + 7) (48 + 32x) + 24 = -16 + 2(x + 7) Reorder the terms: 48 + 24 + 32x = -16 + 2(x + 7) Combine like terms: 48 + 24 = 72 72 + 32x = -16 + 2(x + 7) Reorder the terms: 72 + 32x = -16 + 2(7 + x) 72 + 32x = -16 + (7 * 2 + x * 2) 72 + 32x = -16 + (14 + 2x) Combine like terms: -16 + 14 = -2 72 + 32x = -2 + 2x Solving 72 + 32x = -2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 72 + 32x + -2x = -2 + 2x + -2x Combine like terms: 32x + -2x = 30x 72 + 30x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 72 + 30x = -2 + 0 72 + 30x = -2 Add '-72' to each side of the equation. 72 + -72 + 30x = -2 + -72 Combine like terms: 72 + -72 = 0 0 + 30x = -2 + -72 30x = -2 + -72 Combine like terms: -2 + -72 = -74 30x = -74 Divide each side by '30'. x = -2.466666667 Simplifying x = -2.466666667
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