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Simplifying -5(x + 4) + -45 = 7 + -47 Reorder the terms: -5(4 + x) + -45 = 7 + -47 (4 * -5 + x * -5) + -45 = 7 + -47 (-20 + -5x) + -45 = 7 + -47 Reorder the terms: -20 + -45 + -5x = 7 + -47 Combine like terms: -20 + -45 = -65 -65 + -5x = 7 + -47 Combine like terms: 7 + -47 = -40 -65 + -5x = -40 Solving -65 + -5x = -40 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 + -5x = -40 + 65 Combine like terms: -65 + 65 = 0 0 + -5x = -40 + 65 -5x = -40 + 65 Combine like terms: -40 + 65 = 25 -5x = 25 Divide each side by '-5'. x = -5 Simplifying x = -5
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