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Simplifying 4(x + 7) = -4(x + 7) Reorder the terms: 4(7 + x) = -4(x + 7) (7 * 4 + x * 4) = -4(x + 7) (28 + 4x) = -4(x + 7) Reorder the terms: 28 + 4x = -4(7 + x) 28 + 4x = (7 * -4 + x * -4) 28 + 4x = (-28 + -4x) Solving 28 + 4x = -28 + -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. 28 + 4x + 4x = -28 + -4x + 4x Combine like terms: 4x + 4x = 8x 28 + 8x = -28 + -4x + 4x Combine like terms: -4x + 4x = 0 28 + 8x = -28 + 0 28 + 8x = -28 Add '-28' to each side of the equation. 28 + -28 + 8x = -28 + -28 Combine like terms: 28 + -28 = 0 0 + 8x = -28 + -28 8x = -28 + -28 Combine like terms: -28 + -28 = -56 8x = -56 Divide each side by '8'. x = -7 Simplifying x = -7
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