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Simplifying -6x + 7(-2x + -4) = -41 + -7x Reorder the terms: -6x + 7(-4 + -2x) = -41 + -7x -6x + (-4 * 7 + -2x * 7) = -41 + -7x -6x + (-28 + -14x) = -41 + -7x Reorder the terms: -28 + -6x + -14x = -41 + -7x Combine like terms: -6x + -14x = -20x -28 + -20x = -41 + -7x Solving -28 + -20x = -41 + -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. -28 + -20x + 7x = -41 + -7x + 7x Combine like terms: -20x + 7x = -13x -28 + -13x = -41 + -7x + 7x Combine like terms: -7x + 7x = 0 -28 + -13x = -41 + 0 -28 + -13x = -41 Add '28' to each side of the equation. -28 + 28 + -13x = -41 + 28 Combine like terms: -28 + 28 = 0 0 + -13x = -41 + 28 -13x = -41 + 28 Combine like terms: -41 + 28 = -13 -13x = -13 Divide each side by '-13'. x = 1 Simplifying x = 1
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