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Simplifying 6(x + 5) + 2 = -5(x + -7) + -11 Reorder the terms: 6(5 + x) + 2 = -5(x + -7) + -11 (5 * 6 + x * 6) + 2 = -5(x + -7) + -11 (30 + 6x) + 2 = -5(x + -7) + -11 Reorder the terms: 30 + 2 + 6x = -5(x + -7) + -11 Combine like terms: 30 + 2 = 32 32 + 6x = -5(x + -7) + -11 Reorder the terms: 32 + 6x = -5(-7 + x) + -11 32 + 6x = (-7 * -5 + x * -5) + -11 32 + 6x = (35 + -5x) + -11 Reorder the terms: 32 + 6x = 35 + -11 + -5x Combine like terms: 35 + -11 = 24 32 + 6x = 24 + -5x Solving 32 + 6x = 24 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 32 + 6x + 5x = 24 + -5x + 5x Combine like terms: 6x + 5x = 11x 32 + 11x = 24 + -5x + 5x Combine like terms: -5x + 5x = 0 32 + 11x = 24 + 0 32 + 11x = 24 Add '-32' to each side of the equation. 32 + -32 + 11x = 24 + -32 Combine like terms: 32 + -32 = 0 0 + 11x = 24 + -32 11x = 24 + -32 Combine like terms: 24 + -32 = -8 11x = -8 Divide each side by '11'. x = -0.7272727273 Simplifying x = -0.7272727273
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