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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 = 3 -38 + -2x = 3 + 5x Solving -38 + -2x = 3 + 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 = 3 + 5x + -5x Combine like terms: -2x + -5x = -7x -38 + -7x = 3 + 5x + -5x Combine like terms: 5x + -5x = 0 -38 + -7x = 3 + 0 -38 + -7x = 3 Add '38' to each side of the equation. -38 + 38 + -7x = 3 + 38 Combine like terms: -38 + 38 = 0 0 + -7x = 3 + 38 -7x = 3 + 38 Combine like terms: 3 + 38 = 41 -7x = 41 Divide each side by '-7'. x = -5.857142857 Simplifying x = -5.857142857
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