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Simplifying -38 + -2x = -5(x + 2) + -7 Reorder the terms: -38 + -2x = -5(2 + x) + -7 -38 + -2x = (2 * -5 + x * -5) + -7 -38 + -2x = (-10 + -5x) + -7 Reorder the terms: -38 + -2x = -10 + -7 + -5x Combine like terms: -10 + -7 = -17 -38 + -2x = -17 + -5x Solving -38 + -2x = -17 + -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. -38 + -2x + 5x = -17 + -5x + 5x Combine like terms: -2x + 5x = 3x -38 + 3x = -17 + -5x + 5x Combine like terms: -5x + 5x = 0 -38 + 3x = -17 + 0 -38 + 3x = -17 Add '38' to each side of the equation. -38 + 38 + 3x = -17 + 38 Combine like terms: -38 + 38 = 0 0 + 3x = -17 + 38 3x = -17 + 38 Combine like terms: -17 + 38 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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