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Simplifying 4(X + -2) + -2(x + -3) = 5x + 16 Reorder the terms: 4(-2 + X) + -2(x + -3) = 5x + 16 (-2 * 4 + X * 4) + -2(x + -3) = 5x + 16 (-8 + 4X) + -2(x + -3) = 5x + 16 Reorder the terms: -8 + 4X + -2(-3 + x) = 5x + 16 -8 + 4X + (-3 * -2 + x * -2) = 5x + 16 -8 + 4X + (6 + -2x) = 5x + 16 Reorder the terms: -8 + 6 + 4X + -2x = 5x + 16 Combine like terms: -8 + 6 = -2 -2 + 4X + -2x = 5x + 16 Reorder the terms: -2 + 4X + -2x = 16 + 5x Solving -2 + 4X + -2x = 16 + 5x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 4X + 2 + -2x = 16 + 2 + 5x Reorder the terms: -2 + 2 + 4X + -2x = 16 + 2 + 5x Combine like terms: -2 + 2 = 0 0 + 4X + -2x = 16 + 2 + 5x 4X + -2x = 16 + 2 + 5x Combine like terms: 16 + 2 = 18 4X + -2x = 18 + 5x Add '2x' to each side of the equation. 4X + -2x + 2x = 18 + 5x + 2x Combine like terms: -2x + 2x = 0 4X + 0 = 18 + 5x + 2x 4X = 18 + 5x + 2x Combine like terms: 5x + 2x = 7x 4X = 18 + 7x Divide each side by '4'. X = 4.5 + 1.75x Simplifying X = 4.5 + 1.75x
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