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Simplifying 5(x + -2) + 2(X + 2) = 10 + -2X Reorder the terms: 5(-2 + x) + 2(X + 2) = 10 + -2X (-2 * 5 + x * 5) + 2(X + 2) = 10 + -2X (-10 + 5x) + 2(X + 2) = 10 + -2X Reorder the terms: -10 + 5x + 2(2 + X) = 10 + -2X -10 + 5x + (2 * 2 + X * 2) = 10 + -2X -10 + 5x + (4 + 2X) = 10 + -2X Reorder the terms: -10 + 4 + 2X + 5x = 10 + -2X Combine like terms: -10 + 4 = -6 -6 + 2X + 5x = 10 + -2X Solving -6 + 2X + 5x = 10 + -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. -6 + 2X + 2X + 5x = 10 + -2X + 2X Combine like terms: 2X + 2X = 4X -6 + 4X + 5x = 10 + -2X + 2X Combine like terms: -2X + 2X = 0 -6 + 4X + 5x = 10 + 0 -6 + 4X + 5x = 10 Add '6' to each side of the equation. -6 + 4X + 6 + 5x = 10 + 6 Reorder the terms: -6 + 6 + 4X + 5x = 10 + 6 Combine like terms: -6 + 6 = 0 0 + 4X + 5x = 10 + 6 4X + 5x = 10 + 6 Combine like terms: 10 + 6 = 16 4X + 5x = 16 Add '-5x' to each side of the equation. 4X + 5x + -5x = 16 + -5x Combine like terms: 5x + -5x = 0 4X + 0 = 16 + -5x 4X = 16 + -5x Divide each side by '4'. X = 4 + -1.25x Simplifying X = 4 + -1.25x
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