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Simplifying 2 + 2(3X + -5) = 5 + -4(2X + 1) Reorder the terms: 2 + 2(-5 + 3X) = 5 + -4(2X + 1) 2 + (-5 * 2 + 3X * 2) = 5 + -4(2X + 1) 2 + (-10 + 6X) = 5 + -4(2X + 1) Combine like terms: 2 + -10 = -8 -8 + 6X = 5 + -4(2X + 1) Reorder the terms: -8 + 6X = 5 + -4(1 + 2X) -8 + 6X = 5 + (1 * -4 + 2X * -4) -8 + 6X = 5 + (-4 + -8X) Combine like terms: 5 + -4 = 1 -8 + 6X = 1 + -8X Solving -8 + 6X = 1 + -8X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '8X' to each side of the equation. -8 + 6X + 8X = 1 + -8X + 8X Combine like terms: 6X + 8X = 14X -8 + 14X = 1 + -8X + 8X Combine like terms: -8X + 8X = 0 -8 + 14X = 1 + 0 -8 + 14X = 1 Add '8' to each side of the equation. -8 + 8 + 14X = 1 + 8 Combine like terms: -8 + 8 = 0 0 + 14X = 1 + 8 14X = 1 + 8 Combine like terms: 1 + 8 = 9 14X = 9 Divide each side by '14'. X = 0.6428571429 Simplifying X = 0.6428571429
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