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Simplifying 7x + 28 = -6(x + 4) Reorder the terms: 28 + 7x = -6(x + 4) Reorder the terms: 28 + 7x = -6(4 + x) 28 + 7x = (4 * -6 + x * -6) 28 + 7x = (-24 + -6x) Solving 28 + 7x = -24 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 28 + 7x + 6x = -24 + -6x + 6x Combine like terms: 7x + 6x = 13x 28 + 13x = -24 + -6x + 6x Combine like terms: -6x + 6x = 0 28 + 13x = -24 + 0 28 + 13x = -24 Add '-28' to each side of the equation. 28 + -28 + 13x = -24 + -28 Combine like terms: 28 + -28 = 0 0 + 13x = -24 + -28 13x = -24 + -28 Combine like terms: -24 + -28 = -52 13x = -52 Divide each side by '13'. x = -4 Simplifying x = -4
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