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Simplifying -7(4 + 4x) = 2(x + 1) (4 * -7 + 4x * -7) = 2(x + 1) (-28 + -28x) = 2(x + 1) Reorder the terms: -28 + -28x = 2(1 + x) -28 + -28x = (1 * 2 + x * 2) -28 + -28x = (2 + 2x) Solving -28 + -28x = 2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -28 + -28x + -2x = 2 + 2x + -2x Combine like terms: -28x + -2x = -30x -28 + -30x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 -28 + -30x = 2 + 0 -28 + -30x = 2 Add '28' to each side of the equation. -28 + 28 + -30x = 2 + 28 Combine like terms: -28 + 28 = 0 0 + -30x = 2 + 28 -30x = 2 + 28 Combine like terms: 2 + 28 = 30 -30x = 30 Divide each side by '-30'. x = -1 Simplifying x = -1
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