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Simplifying -3(x + -8) + -1(x + 5) = 23 Reorder the terms: -3(-8 + x) + -1(x + 5) = 23 (-8 * -3 + x * -3) + -1(x + 5) = 23 (24 + -3x) + -1(x + 5) = 23 Reorder the terms: 24 + -3x + -1(5 + x) = 23 24 + -3x + (5 * -1 + x * -1) = 23 24 + -3x + (-5 + -1x) = 23 Reorder the terms: 24 + -5 + -3x + -1x = 23 Combine like terms: 24 + -5 = 19 19 + -3x + -1x = 23 Combine like terms: -3x + -1x = -4x 19 + -4x = 23 Solving 19 + -4x = 23 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -4x = 23 + -19 Combine like terms: 19 + -19 = 0 0 + -4x = 23 + -19 -4x = 23 + -19 Combine like terms: 23 + -19 = 4 -4x = 4 Divide each side by '-4'. x = -1 Simplifying x = -1
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