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Simplifying 2(2X + 1) + 2(3x + -2) = 38 Reorder the terms: 2(1 + 2X) + 2(3x + -2) = 38 (1 * 2 + 2X * 2) + 2(3x + -2) = 38 (2 + 4X) + 2(3x + -2) = 38 Reorder the terms: 2 + 4X + 2(-2 + 3x) = 38 2 + 4X + (-2 * 2 + 3x * 2) = 38 2 + 4X + (-4 + 6x) = 38 Reorder the terms: 2 + -4 + 4X + 6x = 38 Combine like terms: 2 + -4 = -2 -2 + 4X + 6x = 38 Solving -2 + 4X + 6x = 38 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 + 6x = 38 + 2 Reorder the terms: -2 + 2 + 4X + 6x = 38 + 2 Combine like terms: -2 + 2 = 0 0 + 4X + 6x = 38 + 2 4X + 6x = 38 + 2 Combine like terms: 38 + 2 = 40 4X + 6x = 40 Add '-6x' to each side of the equation. 4X + 6x + -6x = 40 + -6x Combine like terms: 6x + -6x = 0 4X + 0 = 40 + -6x 4X = 40 + -6x Divide each side by '4'. X = 10 + -1.5x Simplifying X = 10 + -1.5x
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