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Simplifying 7(x + -7) = -40 + 4x Reorder the terms: 7(-7 + x) = -40 + 4x (-7 * 7 + x * 7) = -40 + 4x (-49 + 7x) = -40 + 4x Solving -49 + 7x = -40 + 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. -49 + 7x + -4x = -40 + 4x + -4x Combine like terms: 7x + -4x = 3x -49 + 3x = -40 + 4x + -4x Combine like terms: 4x + -4x = 0 -49 + 3x = -40 + 0 -49 + 3x = -40 Add '49' to each side of the equation. -49 + 49 + 3x = -40 + 49 Combine like terms: -49 + 49 = 0 0 + 3x = -40 + 49 3x = -40 + 49 Combine like terms: -40 + 49 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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