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Simplifying 7(X + 1) + -1x = 3(2X + 1) Reorder the terms: 7(1 + X) + -1x = 3(2X + 1) (1 * 7 + X * 7) + -1x = 3(2X + 1) (7 + 7X) + -1x = 3(2X + 1) Reorder the terms: 7 + 7X + -1x = 3(1 + 2X) 7 + 7X + -1x = (1 * 3 + 2X * 3) 7 + 7X + -1x = (3 + 6X) Solving 7 + 7X + -1x = 3 + 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 + 7X + -6X + -1x = 3 + 6X + -6X Combine like terms: 7X + -6X = 1X 7 + 1X + -1x = 3 + 6X + -6X Combine like terms: 6X + -6X = 0 7 + 1X + -1x = 3 + 0 7 + 1X + -1x = 3 Add '-7' to each side of the equation. 7 + 1X + -7 + -1x = 3 + -7 Reorder the terms: 7 + -7 + 1X + -1x = 3 + -7 Combine like terms: 7 + -7 = 0 0 + 1X + -1x = 3 + -7 1X + -1x = 3 + -7 Combine like terms: 3 + -7 = -4 1X + -1x = -4 Add 'x' to each side of the equation. 1X + -1x + x = -4 + x Combine like terms: -1x + x = 0 1X + 0 = -4 + x 1X = -4 + x Divide each side by '1'. X = -4 + x Simplifying X = -4 + x
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