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Simplifying 7(x + 5) + 6(x + 5) = 6x + -6 Reorder the terms: 7(5 + x) + 6(x + 5) = 6x + -6 (5 * 7 + x * 7) + 6(x + 5) = 6x + -6 (35 + 7x) + 6(x + 5) = 6x + -6 Reorder the terms: 35 + 7x + 6(5 + x) = 6x + -6 35 + 7x + (5 * 6 + x * 6) = 6x + -6 35 + 7x + (30 + 6x) = 6x + -6 Reorder the terms: 35 + 30 + 7x + 6x = 6x + -6 Combine like terms: 35 + 30 = 65 65 + 7x + 6x = 6x + -6 Combine like terms: 7x + 6x = 13x 65 + 13x = 6x + -6 Reorder the terms: 65 + 13x = -6 + 6x Solving 65 + 13x = -6 + 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. 65 + 13x + -6x = -6 + 6x + -6x Combine like terms: 13x + -6x = 7x 65 + 7x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 65 + 7x = -6 + 0 65 + 7x = -6 Add '-65' to each side of the equation. 65 + -65 + 7x = -6 + -65 Combine like terms: 65 + -65 = 0 0 + 7x = -6 + -65 7x = -6 + -65 Combine like terms: -6 + -65 = -71 7x = -71 Divide each side by '7'. x = -10.14285714 Simplifying x = -10.14285714
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