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Simplifying -13 = 5(x + 4) + -8 Reorder the terms: -13 = 5(4 + x) + -8 -13 = (4 * 5 + x * 5) + -8 -13 = (20 + 5x) + -8 Reorder the terms: -13 = 20 + -8 + 5x Combine like terms: 20 + -8 = 12 -13 = 12 + 5x Solving -13 = 12 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -13 + -5x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 -13 + -5x = 12 + 0 -13 + -5x = 12 Add '13' to each side of the equation. -13 + 13 + -5x = 12 + 13 Combine like terms: -13 + 13 = 0 0 + -5x = 12 + 13 -5x = 12 + 13 Combine like terms: 12 + 13 = 25 -5x = 25 Divide each side by '-5'. x = -5 Simplifying x = -5
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