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Simplifying 7x + -1(4x + 2) = 5x + -40 Reorder the terms: 7x + -1(2 + 4x) = 5x + -40 7x + (2 * -1 + 4x * -1) = 5x + -40 7x + (-2 + -4x) = 5x + -40 Reorder the terms: -2 + 7x + -4x = 5x + -40 Combine like terms: 7x + -4x = 3x -2 + 3x = 5x + -40 Reorder the terms: -2 + 3x = -40 + 5x Solving -2 + 3x = -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. -2 + 3x + -5x = -40 + 5x + -5x Combine like terms: 3x + -5x = -2x -2 + -2x = -40 + 5x + -5x Combine like terms: 5x + -5x = 0 -2 + -2x = -40 + 0 -2 + -2x = -40 Add '2' to each side of the equation. -2 + 2 + -2x = -40 + 2 Combine like terms: -2 + 2 = 0 0 + -2x = -40 + 2 -2x = -40 + 2 Combine like terms: -40 + 2 = -38 -2x = -38 Divide each side by '-2'. x = 19 Simplifying x = 19
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