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Simplifying 4(x + 2) + 8 = 2(4X + -5) + -14 Reorder the terms: 4(2 + x) + 8 = 2(4X + -5) + -14 (2 * 4 + x * 4) + 8 = 2(4X + -5) + -14 (8 + 4x) + 8 = 2(4X + -5) + -14 Reorder the terms: 8 + 8 + 4x = 2(4X + -5) + -14 Combine like terms: 8 + 8 = 16 16 + 4x = 2(4X + -5) + -14 Reorder the terms: 16 + 4x = 2(-5 + 4X) + -14 16 + 4x = (-5 * 2 + 4X * 2) + -14 16 + 4x = (-10 + 8X) + -14 Reorder the terms: 16 + 4x = -10 + -14 + 8X Combine like terms: -10 + -14 = -24 16 + 4x = -24 + 8X Solving 16 + 4x = -24 + 8X Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 4x = -24 + -16 + 8X Combine like terms: 16 + -16 = 0 0 + 4x = -24 + -16 + 8X 4x = -24 + -16 + 8X Combine like terms: -24 + -16 = -40 4x = -40 + 8X Divide each side by '4'. x = -10 + 2X Simplifying x = -10 + 2X
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