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Simplifying 6x + 11 = -7(1x + 4) Reorder the terms: 11 + 6x = -7(1x + 4) Reorder the terms: 11 + 6x = -7(4 + 1x) 11 + 6x = (4 * -7 + 1x * -7) 11 + 6x = (-28 + -7x) Solving 11 + 6x = -28 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 11 + 6x + 7x = -28 + -7x + 7x Combine like terms: 6x + 7x = 13x 11 + 13x = -28 + -7x + 7x Combine like terms: -7x + 7x = 0 11 + 13x = -28 + 0 11 + 13x = -28 Add '-11' to each side of the equation. 11 + -11 + 13x = -28 + -11 Combine like terms: 11 + -11 = 0 0 + 13x = -28 + -11 13x = -28 + -11 Combine like terms: -28 + -11 = -39 13x = -39 Divide each side by '13'. x = -3 Simplifying x = -3
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