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Simplifying 7(x + 5) + 6(x + 5) = 7x + -7 Reorder the terms: 7(5 + x) + 6(x + 5) = 7x + -7 (5 * 7 + x * 7) + 6(x + 5) = 7x + -7 (35 + 7x) + 6(x + 5) = 7x + -7 Reorder the terms: 35 + 7x + 6(5 + x) = 7x + -7 35 + 7x + (5 * 6 + x * 6) = 7x + -7 35 + 7x + (30 + 6x) = 7x + -7 Reorder the terms: 35 + 30 + 7x + 6x = 7x + -7 Combine like terms: 35 + 30 = 65 65 + 7x + 6x = 7x + -7 Combine like terms: 7x + 6x = 13x 65 + 13x = 7x + -7 Reorder the terms: 65 + 13x = -7 + 7x Solving 65 + 13x = -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. 65 + 13x + -7x = -7 + 7x + -7x Combine like terms: 13x + -7x = 6x 65 + 6x = -7 + 7x + -7x Combine like terms: 7x + -7x = 0 65 + 6x = -7 + 0 65 + 6x = -7 Add '-65' to each side of the equation. 65 + -65 + 6x = -7 + -65 Combine like terms: 65 + -65 = 0 0 + 6x = -7 + -65 6x = -7 + -65 Combine like terms: -7 + -65 = -72 6x = -72 Divide each side by '6'. x = -12 Simplifying x = -12
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