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Simplifying 6(x + -6) + -5 = -7(x + 1) Reorder the terms: 6(-6 + x) + -5 = -7(x + 1) (-6 * 6 + x * 6) + -5 = -7(x + 1) (-36 + 6x) + -5 = -7(x + 1) Reorder the terms: -36 + -5 + 6x = -7(x + 1) Combine like terms: -36 + -5 = -41 -41 + 6x = -7(x + 1) Reorder the terms: -41 + 6x = -7(1 + x) -41 + 6x = (1 * -7 + x * -7) -41 + 6x = (-7 + -7x) Solving -41 + 6x = -7 + -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. -41 + 6x + 7x = -7 + -7x + 7x Combine like terms: 6x + 7x = 13x -41 + 13x = -7 + -7x + 7x Combine like terms: -7x + 7x = 0 -41 + 13x = -7 + 0 -41 + 13x = -7 Add '41' to each side of the equation. -41 + 41 + 13x = -7 + 41 Combine like terms: -41 + 41 = 0 0 + 13x = -7 + 41 13x = -7 + 41 Combine like terms: -7 + 41 = 34 13x = 34 Divide each side by '13'. x = 2.615384615 Simplifying x = 2.615384615
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