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Simplifying 6(x + 2) + 7 = -7(x + 4) Reorder the terms: 6(2 + x) + 7 = -7(x + 4) (2 * 6 + x * 6) + 7 = -7(x + 4) (12 + 6x) + 7 = -7(x + 4) Reorder the terms: 12 + 7 + 6x = -7(x + 4) Combine like terms: 12 + 7 = 19 19 + 6x = -7(x + 4) Reorder the terms: 19 + 6x = -7(4 + x) 19 + 6x = (4 * -7 + x * -7) 19 + 6x = (-28 + -7x) Solving 19 + 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. 19 + 6x + 7x = -28 + -7x + 7x Combine like terms: 6x + 7x = 13x 19 + 13x = -28 + -7x + 7x Combine like terms: -7x + 7x = 0 19 + 13x = -28 + 0 19 + 13x = -28 Add '-19' to each side of the equation. 19 + -19 + 13x = -28 + -19 Combine like terms: 19 + -19 = 0 0 + 13x = -28 + -19 13x = -28 + -19 Combine like terms: -28 + -19 = -47 13x = -47 Divide each side by '13'. x = -3.615384615 Simplifying x = -3.615384615
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