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Simplifying -6x + 4(-3x + -7) = -41 + -5x Reorder the terms: -6x + 4(-7 + -3x) = -41 + -5x -6x + (-7 * 4 + -3x * 4) = -41 + -5x -6x + (-28 + -12x) = -41 + -5x Reorder the terms: -28 + -6x + -12x = -41 + -5x Combine like terms: -6x + -12x = -18x -28 + -18x = -41 + -5x Solving -28 + -18x = -41 + -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. -28 + -18x + 5x = -41 + -5x + 5x Combine like terms: -18x + 5x = -13x -28 + -13x = -41 + -5x + 5x Combine like terms: -5x + 5x = 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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