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Simplifying 5(X + -1) + 3x = 7(X + -1) Reorder the terms: 5(-1 + X) + 3x = 7(X + -1) (-1 * 5 + X * 5) + 3x = 7(X + -1) (-5 + 5X) + 3x = 7(X + -1) Reorder the terms: -5 + 5X + 3x = 7(-1 + X) -5 + 5X + 3x = (-1 * 7 + X * 7) -5 + 5X + 3x = (-7 + 7X) Solving -5 + 5X + 3x = -7 + 7X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-7X' to each side of the equation. -5 + 5X + -7X + 3x = -7 + 7X + -7X Combine like terms: 5X + -7X = -2X -5 + -2X + 3x = -7 + 7X + -7X Combine like terms: 7X + -7X = 0 -5 + -2X + 3x = -7 + 0 -5 + -2X + 3x = -7 Add '5' to each side of the equation. -5 + -2X + 5 + 3x = -7 + 5 Reorder the terms: -5 + 5 + -2X + 3x = -7 + 5 Combine like terms: -5 + 5 = 0 0 + -2X + 3x = -7 + 5 -2X + 3x = -7 + 5 Combine like terms: -7 + 5 = -2 -2X + 3x = -2 Add '-3x' to each side of the equation. -2X + 3x + -3x = -2 + -3x Combine like terms: 3x + -3x = 0 -2X + 0 = -2 + -3x -2X = -2 + -3x Divide each side by '-2'. X = 1 + 1.5x Simplifying X = 1 + 1.5x
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