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