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Simplifying -3(x + 5) + -13 = 2x + -23 Reorder the terms: -3(5 + x) + -13 = 2x + -23 (5 * -3 + x * -3) + -13 = 2x + -23 (-15 + -3x) + -13 = 2x + -23 Reorder the terms: -15 + -13 + -3x = 2x + -23 Combine like terms: -15 + -13 = -28 -28 + -3x = 2x + -23 Reorder the terms: -28 + -3x = -23 + 2x Solving -28 + -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. -28 + -3x + -2x = -23 + 2x + -2x Combine like terms: -3x + -2x = -5x -28 + -5x = -23 + 2x + -2x Combine like terms: 2x + -2x = 0 -28 + -5x = -23 + 0 -28 + -5x = -23 Add '28' to each side of the equation. -28 + 28 + -5x = -23 + 28 Combine like terms: -28 + 28 = 0 0 + -5x = -23 + 28 -5x = -23 + 28 Combine like terms: -23 + 28 = 5 -5x = 5 Divide each side by '-5'. x = -1 Simplifying x = -1
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