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Simplifying 5(2X + 4) + -16 = 2(6X + -5) Reorder the terms: 5(4 + 2X) + -16 = 2(6X + -5) (4 * 5 + 2X * 5) + -16 = 2(6X + -5) (20 + 10X) + -16 = 2(6X + -5) Reorder the terms: 20 + -16 + 10X = 2(6X + -5) Combine like terms: 20 + -16 = 4 4 + 10X = 2(6X + -5) Reorder the terms: 4 + 10X = 2(-5 + 6X) 4 + 10X = (-5 * 2 + 6X * 2) 4 + 10X = (-10 + 12X) Solving 4 + 10X = -10 + 12X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-12X' to each side of the equation. 4 + 10X + -12X = -10 + 12X + -12X Combine like terms: 10X + -12X = -2X 4 + -2X = -10 + 12X + -12X Combine like terms: 12X + -12X = 0 4 + -2X = -10 + 0 4 + -2X = -10 Add '-4' to each side of the equation. 4 + -4 + -2X = -10 + -4 Combine like terms: 4 + -4 = 0 0 + -2X = -10 + -4 -2X = -10 + -4 Combine like terms: -10 + -4 = -14 -2X = -14 Divide each side by '-2'. X = 7 Simplifying X = 7
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