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Simplifying -3(x + 5) = -2x + -23 Reorder the terms: -3(5 + x) = -2x + -23 (5 * -3 + x * -3) = -2x + -23 (-15 + -3x) = -2x + -23 Reorder the terms: -15 + -3x = -23 + -2x Solving -15 + -3x = -23 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -15 + -3x + 2x = -23 + -2x + 2x Combine like terms: -3x + 2x = -1x -15 + -1x = -23 + -2x + 2x Combine like terms: -2x + 2x = 0 -15 + -1x = -23 + 0 -15 + -1x = -23 Add '15' to each side of the equation. -15 + 15 + -1x = -23 + 15 Combine like terms: -15 + 15 = 0 0 + -1x = -23 + 15 -1x = -23 + 15 Combine like terms: -23 + 15 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8
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