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Simplifying 7x + -1(3x + 2) = 5x + -38 Reorder the terms: 7x + -1(2 + 3x) = 5x + -38 7x + (2 * -1 + 3x * -1) = 5x + -38 7x + (-2 + -3x) = 5x + -38 Reorder the terms: -2 + 7x + -3x = 5x + -38 Combine like terms: 7x + -3x = 4x -2 + 4x = 5x + -38 Reorder the terms: -2 + 4x = -38 + 5x Solving -2 + 4x = -38 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -2 + 4x + -5x = -38 + 5x + -5x Combine like terms: 4x + -5x = -1x -2 + -1x = -38 + 5x + -5x Combine like terms: 5x + -5x = 0 -2 + -1x = -38 + 0 -2 + -1x = -38 Add '2' to each side of the equation. -2 + 2 + -1x = -38 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = -38 + 2 -1x = -38 + 2 Combine like terms: -38 + 2 = -36 -1x = -36 Divide each side by '-1'. x = 36 Simplifying x = 36
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