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Simplifying 7x + -1(4x + 7) = 4x + -41 Reorder the terms: 7x + -1(7 + 4x) = 4x + -41 7x + (7 * -1 + 4x * -1) = 4x + -41 7x + (-7 + -4x) = 4x + -41 Reorder the terms: -7 + 7x + -4x = 4x + -41 Combine like terms: 7x + -4x = 3x -7 + 3x = 4x + -41 Reorder the terms: -7 + 3x = -41 + 4x Solving -7 + 3x = -41 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -7 + 3x + -4x = -41 + 4x + -4x Combine like terms: 3x + -4x = -1x -7 + -1x = -41 + 4x + -4x Combine like terms: 4x + -4x = 0 -7 + -1x = -41 + 0 -7 + -1x = -41 Add '7' to each side of the equation. -7 + 7 + -1x = -41 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = -41 + 7 -1x = -41 + 7 Combine like terms: -41 + 7 = -34 -1x = -34 Divide each side by '-1'. x = 34 Simplifying x = 34
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