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Simplifying -38 = 5x + 7(-1x + -2) Reorder the terms: -38 = 5x + 7(-2 + -1x) -38 = 5x + (-2 * 7 + -1x * 7) -38 = 5x + (-14 + -7x) Reorder the terms: -38 = -14 + 5x + -7x Combine like terms: 5x + -7x = -2x -38 = -14 + -2x Solving -38 = -14 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -38 + 2x = -14 + -2x + 2x Combine like terms: -2x + 2x = 0 -38 + 2x = -14 + 0 -38 + 2x = -14 Add '38' to each side of the equation. -38 + 38 + 2x = -14 + 38 Combine like terms: -38 + 38 = 0 0 + 2x = -14 + 38 2x = -14 + 38 Combine like terms: -14 + 38 = 24 2x = 24 Divide each side by '2'. x = 12 Simplifying x = 12
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