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Simplifying -2x + -38 = -6(x + 5) Reorder the terms: -38 + -2x = -6(x + 5) Reorder the terms: -38 + -2x = -6(5 + x) -38 + -2x = (5 * -6 + x * -6) -38 + -2x = (-30 + -6x) Solving -38 + -2x = -30 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -38 + -2x + 6x = -30 + -6x + 6x Combine like terms: -2x + 6x = 4x -38 + 4x = -30 + -6x + 6x Combine like terms: -6x + 6x = 0 -38 + 4x = -30 + 0 -38 + 4x = -30 Add '38' to each side of the equation. -38 + 38 + 4x = -30 + 38 Combine like terms: -38 + 38 = 0 0 + 4x = -30 + 38 4x = -30 + 38 Combine like terms: -30 + 38 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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