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Simplifying -5(x + 7) + -45 = 8 + -58 Reorder the terms: -5(7 + x) + -45 = 8 + -58 (7 * -5 + x * -5) + -45 = 8 + -58 (-35 + -5x) + -45 = 8 + -58 Reorder the terms: -35 + -45 + -5x = 8 + -58 Combine like terms: -35 + -45 = -80 -80 + -5x = 8 + -58 Combine like terms: 8 + -58 = -50 -80 + -5x = -50 Solving -80 + -5x = -50 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '80' to each side of the equation. -80 + 80 + -5x = -50 + 80 Combine like terms: -80 + 80 = 0 0 + -5x = -50 + 80 -5x = -50 + 80 Combine like terms: -50 + 80 = 30 -5x = 30 Divide each side by '-5'. x = -6 Simplifying x = -6
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