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Simplifying 2(X + 10) + 3(x + -2) = 2(x + 10) Reorder the terms: 2(10 + X) + 3(x + -2) = 2(x + 10) (10 * 2 + X * 2) + 3(x + -2) = 2(x + 10) (20 + 2X) + 3(x + -2) = 2(x + 10) Reorder the terms: 20 + 2X + 3(-2 + x) = 2(x + 10) 20 + 2X + (-2 * 3 + x * 3) = 2(x + 10) 20 + 2X + (-6 + 3x) = 2(x + 10) Reorder the terms: 20 + -6 + 2X + 3x = 2(x + 10) Combine like terms: 20 + -6 = 14 14 + 2X + 3x = 2(x + 10) Reorder the terms: 14 + 2X + 3x = 2(10 + x) 14 + 2X + 3x = (10 * 2 + x * 2) 14 + 2X + 3x = (20 + 2x) Solving 14 + 2X + 3x = 20 + 2x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + 2X + -14 + 3x = 20 + -14 + 2x Reorder the terms: 14 + -14 + 2X + 3x = 20 + -14 + 2x Combine like terms: 14 + -14 = 0 0 + 2X + 3x = 20 + -14 + 2x 2X + 3x = 20 + -14 + 2x Combine like terms: 20 + -14 = 6 2X + 3x = 6 + 2x Add '-3x' to each side of the equation. 2X + 3x + -3x = 6 + 2x + -3x Combine like terms: 3x + -3x = 0 2X + 0 = 6 + 2x + -3x 2X = 6 + 2x + -3x Combine like terms: 2x + -3x = -1x 2X = 6 + -1x Divide each side by '2'. X = 3 + -0.5x Simplifying X = 3 + -0.5x
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