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Simplifying 7(-4x + -7) = 7 + -7(x + -4) Reorder the terms: 7(-7 + -4x) = 7 + -7(x + -4) (-7 * 7 + -4x * 7) = 7 + -7(x + -4) (-49 + -28x) = 7 + -7(x + -4) Reorder the terms: -49 + -28x = 7 + -7(-4 + x) -49 + -28x = 7 + (-4 * -7 + x * -7) -49 + -28x = 7 + (28 + -7x) Combine like terms: 7 + 28 = 35 -49 + -28x = 35 + -7x Solving -49 + -28x = 35 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -49 + -28x + 7x = 35 + -7x + 7x Combine like terms: -28x + 7x = -21x -49 + -21x = 35 + -7x + 7x Combine like terms: -7x + 7x = 0 -49 + -21x = 35 + 0 -49 + -21x = 35 Add '49' to each side of the equation. -49 + 49 + -21x = 35 + 49 Combine like terms: -49 + 49 = 0 0 + -21x = 35 + 49 -21x = 35 + 49 Combine like terms: 35 + 49 = 84 -21x = 84 Divide each side by '-21'. x = -4 Simplifying x = -4
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