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Simplifying -38 + 7x = -5(-7x + 2) Reorder the terms: -38 + 7x = -5(2 + -7x) -38 + 7x = (2 * -5 + -7x * -5) -38 + 7x = (-10 + 35x) Solving -38 + 7x = -10 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. -38 + 7x + -35x = -10 + 35x + -35x Combine like terms: 7x + -35x = -28x -38 + -28x = -10 + 35x + -35x Combine like terms: 35x + -35x = 0 -38 + -28x = -10 + 0 -38 + -28x = -10 Add '38' to each side of the equation. -38 + 38 + -28x = -10 + 38 Combine like terms: -38 + 38 = 0 0 + -28x = -10 + 38 -28x = -10 + 38 Combine like terms: -10 + 38 = 28 -28x = 28 Divide each side by '-28'. x = -1 Simplifying x = -1
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