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Simplifying 7x + -1(5x + 4) = 5x + -40 Reorder the terms: 7x + -1(4 + 5x) = 5x + -40 7x + (4 * -1 + 5x * -1) = 5x + -40 7x + (-4 + -5x) = 5x + -40 Reorder the terms: -4 + 7x + -5x = 5x + -40 Combine like terms: 7x + -5x = 2x -4 + 2x = 5x + -40 Reorder the terms: -4 + 2x = -40 + 5x Solving -4 + 2x = -40 + 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. -4 + 2x + -5x = -40 + 5x + -5x Combine like terms: 2x + -5x = -3x -4 + -3x = -40 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 + -3x = -40 + 0 -4 + -3x = -40 Add '4' to each side of the equation. -4 + 4 + -3x = -40 + 4 Combine like terms: -4 + 4 = 0 0 + -3x = -40 + 4 -3x = -40 + 4 Combine like terms: -40 + 4 = -36 -3x = -36 Divide each side by '-3'. x = 12 Simplifying x = 12
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