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Simplifying 8(x + 5) + 6(x + 5) = 7x + -7 Reorder the terms: 8(5 + x) + 6(x + 5) = 7x + -7 (5 * 8 + x * 8) + 6(x + 5) = 7x + -7 (40 + 8x) + 6(x + 5) = 7x + -7 Reorder the terms: 40 + 8x + 6(5 + x) = 7x + -7 40 + 8x + (5 * 6 + x * 6) = 7x + -7 40 + 8x + (30 + 6x) = 7x + -7 Reorder the terms: 40 + 30 + 8x + 6x = 7x + -7 Combine like terms: 40 + 30 = 70 70 + 8x + 6x = 7x + -7 Combine like terms: 8x + 6x = 14x 70 + 14x = 7x + -7 Reorder the terms: 70 + 14x = -7 + 7x Solving 70 + 14x = -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. 70 + 14x + -7x = -7 + 7x + -7x Combine like terms: 14x + -7x = 7x 70 + 7x = -7 + 7x + -7x Combine like terms: 7x + -7x = 0 70 + 7x = -7 + 0 70 + 7x = -7 Add '-70' to each side of the equation. 70 + -70 + 7x = -7 + -70 Combine like terms: 70 + -70 = 0 0 + 7x = -7 + -70 7x = -7 + -70 Combine like terms: -7 + -70 = -77 7x = -77 Divide each side by '7'. x = -11 Simplifying x = -11
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