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Simplifying 4 + -4(7x + 8) = -2(-7 + -7x) Reorder the terms: 4 + -4(8 + 7x) = -2(-7 + -7x) 4 + (8 * -4 + 7x * -4) = -2(-7 + -7x) 4 + (-32 + -28x) = -2(-7 + -7x) Combine like terms: 4 + -32 = -28 -28 + -28x = -2(-7 + -7x) -28 + -28x = (-7 * -2 + -7x * -2) -28 + -28x = (14 + 14x) Solving -28 + -28x = 14 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -28 + -28x + -14x = 14 + 14x + -14x Combine like terms: -28x + -14x = -42x -28 + -42x = 14 + 14x + -14x Combine like terms: 14x + -14x = 0 -28 + -42x = 14 + 0 -28 + -42x = 14 Add '28' to each side of the equation. -28 + 28 + -42x = 14 + 28 Combine like terms: -28 + 28 = 0 0 + -42x = 14 + 28 -42x = 14 + 28 Combine like terms: 14 + 28 = 42 -42x = 42 Divide each side by '-42'. x = -1 Simplifying x = -1
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