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Simplifying 2x + 8 = -4(x + 7) Reorder the terms: 8 + 2x = -4(x + 7) Reorder the terms: 8 + 2x = -4(7 + x) 8 + 2x = (7 * -4 + x * -4) 8 + 2x = (-28 + -4x) Solving 8 + 2x = -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. 8 + 2x + 4x = -28 + -4x + 4x Combine like terms: 2x + 4x = 6x 8 + 6x = -28 + -4x + 4x Combine like terms: -4x + 4x = 0 8 + 6x = -28 + 0 8 + 6x = -28 Add '-8' to each side of the equation. 8 + -8 + 6x = -28 + -8 Combine like terms: 8 + -8 = 0 0 + 6x = -28 + -8 6x = -28 + -8 Combine like terms: -28 + -8 = -36 6x = -36 Divide each side by '6'. x = -6 Simplifying x = -6
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