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Simplifying -7(x + 8) = -23 + 4x Reorder the terms: -7(8 + x) = -23 + 4x (8 * -7 + x * -7) = -23 + 4x (-56 + -7x) = -23 + 4x Solving -56 + -7x = -23 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -56 + -7x + -4x = -23 + 4x + -4x Combine like terms: -7x + -4x = -11x -56 + -11x = -23 + 4x + -4x Combine like terms: 4x + -4x = 0 -56 + -11x = -23 + 0 -56 + -11x = -23 Add '56' to each side of the equation. -56 + 56 + -11x = -23 + 56 Combine like terms: -56 + 56 = 0 0 + -11x = -23 + 56 -11x = -23 + 56 Combine like terms: -23 + 56 = 33 -11x = 33 Divide each side by '-11'. x = -3 Simplifying x = -3
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