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Simplifying -7x + 23 = -3(x + -5) Reorder the terms: 23 + -7x = -3(x + -5) Reorder the terms: 23 + -7x = -3(-5 + x) 23 + -7x = (-5 * -3 + x * -3) 23 + -7x = (15 + -3x) Solving 23 + -7x = 15 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 23 + -7x + 3x = 15 + -3x + 3x Combine like terms: -7x + 3x = -4x 23 + -4x = 15 + -3x + 3x Combine like terms: -3x + 3x = 0 23 + -4x = 15 + 0 23 + -4x = 15 Add '-23' to each side of the equation. 23 + -23 + -4x = 15 + -23 Combine like terms: 23 + -23 = 0 0 + -4x = 15 + -23 -4x = 15 + -23 Combine like terms: 15 + -23 = -8 -4x = -8 Divide each side by '-4'. x = 2 Simplifying x = 2
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