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Simplifying 2(x + 3) + (4X + 1) = 5(X + 5) + X Reorder the terms: 2(3 + x) + (4X + 1) = 5(X + 5) + X (3 * 2 + x * 2) + (4X + 1) = 5(X + 5) + X (6 + 2x) + (4X + 1) = 5(X + 5) + X Reorder the terms: 6 + 2x + (1 + 4X) = 5(X + 5) + X Remove parenthesis around (1 + 4X) 6 + 2x + 1 + 4X = 5(X + 5) + X Reorder the terms: 6 + 1 + 4X + 2x = 5(X + 5) + X Combine like terms: 6 + 1 = 7 7 + 4X + 2x = 5(X + 5) + X Reorder the terms: 7 + 4X + 2x = 5(5 + X) + X 7 + 4X + 2x = (5 * 5 + X * 5) + X 7 + 4X + 2x = (25 + 5X) + X Combine like terms: 5X + X = 6X 7 + 4X + 2x = 25 + 6X Solving 7 + 4X + 2x = 25 + 6X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-6X' to each side of the equation. 7 + 4X + -6X + 2x = 25 + 6X + -6X Combine like terms: 4X + -6X = -2X 7 + -2X + 2x = 25 + 6X + -6X Combine like terms: 6X + -6X = 0 7 + -2X + 2x = 25 + 0 7 + -2X + 2x = 25 Add '-7' to each side of the equation. 7 + -2X + -7 + 2x = 25 + -7 Reorder the terms: 7 + -7 + -2X + 2x = 25 + -7 Combine like terms: 7 + -7 = 0 0 + -2X + 2x = 25 + -7 -2X + 2x = 25 + -7 Combine like terms: 25 + -7 = 18 -2X + 2x = 18 Add '-2x' to each side of the equation. -2X + 2x + -2x = 18 + -2x Combine like terms: 2x + -2x = 0 -2X + 0 = 18 + -2x -2X = 18 + -2x Divide each side by '-2'. X = -9 + x Simplifying X = -9 + x
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