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Simplifying -4x + -38 = -7(x + 5) Reorder the terms: -38 + -4x = -7(x + 5) Reorder the terms: -38 + -4x = -7(5 + x) -38 + -4x = (5 * -7 + x * -7) -38 + -4x = (-35 + -7x) Solving -38 + -4x = -35 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -38 + -4x + 7x = -35 + -7x + 7x Combine like terms: -4x + 7x = 3x -38 + 3x = -35 + -7x + 7x Combine like terms: -7x + 7x = 0 -38 + 3x = -35 + 0 -38 + 3x = -35 Add '38' to each side of the equation. -38 + 38 + 3x = -35 + 38 Combine like terms: -38 + 38 = 0 0 + 3x = -35 + 38 3x = -35 + 38 Combine like terms: -35 + 38 = 3 3x = 3 Divide each side by '3'. x = 1 Simplifying x = 1
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