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Simplifying -7x + -40 = 5(x + 20) Reorder the terms: -40 + -7x = 5(x + 20) Reorder the terms: -40 + -7x = 5(20 + x) -40 + -7x = (20 * 5 + x * 5) -40 + -7x = (100 + 5x) Solving -40 + -7x = 100 + 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. -40 + -7x + -5x = 100 + 5x + -5x Combine like terms: -7x + -5x = -12x -40 + -12x = 100 + 5x + -5x Combine like terms: 5x + -5x = 0 -40 + -12x = 100 + 0 -40 + -12x = 100 Add '40' to each side of the equation. -40 + 40 + -12x = 100 + 40 Combine like terms: -40 + 40 = 0 0 + -12x = 100 + 40 -12x = 100 + 40 Combine like terms: 100 + 40 = 140 -12x = 140 Divide each side by '-12'. x = -11.66666667 Simplifying x = -11.66666667
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