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Simplifying -7(x + 5) + -45 = 3 + -34 Reorder the terms: -7(5 + x) + -45 = 3 + -34 (5 * -7 + x * -7) + -45 = 3 + -34 (-35 + -7x) + -45 = 3 + -34 Reorder the terms: -35 + -45 + -7x = 3 + -34 Combine like terms: -35 + -45 = -80 -80 + -7x = 3 + -34 Combine like terms: 3 + -34 = -31 -80 + -7x = -31 Solving -80 + -7x = -31 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 + -7x = -31 + 80 Combine like terms: -80 + 80 = 0 0 + -7x = -31 + 80 -7x = -31 + 80 Combine like terms: -31 + 80 = 49 -7x = 49 Divide each side by '-7'. x = -7 Simplifying x = -7
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