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Simplifying -6 + -3(x + 5) = -5x + -23 Reorder the terms: -6 + -3(5 + x) = -5x + -23 -6 + (5 * -3 + x * -3) = -5x + -23 -6 + (-15 + -3x) = -5x + -23 Combine like terms: -6 + -15 = -21 -21 + -3x = -5x + -23 Reorder the terms: -21 + -3x = -23 + -5x Solving -21 + -3x = -23 + -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. -21 + -3x + 5x = -23 + -5x + 5x Combine like terms: -3x + 5x = 2x -21 + 2x = -23 + -5x + 5x Combine like terms: -5x + 5x = 0 -21 + 2x = -23 + 0 -21 + 2x = -23 Add '21' to each side of the equation. -21 + 21 + 2x = -23 + 21 Combine like terms: -21 + 21 = 0 0 + 2x = -23 + 21 2x = -23 + 21 Combine like terms: -23 + 21 = -2 2x = -2 Divide each side by '2'. x = -1 Simplifying x = -1
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