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Simplifying -4(x + 5) + -45 = 1 + -34 Reorder the terms: -4(5 + x) + -45 = 1 + -34 (5 * -4 + x * -4) + -45 = 1 + -34 (-20 + -4x) + -45 = 1 + -34 Reorder the terms: -20 + -45 + -4x = 1 + -34 Combine like terms: -20 + -45 = -65 -65 + -4x = 1 + -34 Combine like terms: 1 + -34 = -33 -65 + -4x = -33 Solving -65 + -4x = -33 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '65' to each side of the equation. -65 + 65 + -4x = -33 + 65 Combine like terms: -65 + 65 = 0 0 + -4x = -33 + 65 -4x = -33 + 65 Combine like terms: -33 + 65 = 32 -4x = 32 Divide each side by '-4'. x = -8 Simplifying x = -8
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