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Simplifying 8(x + 5) + 7(x + 5) = 6x + -6 Reorder the terms: 8(5 + x) + 7(x + 5) = 6x + -6 (5 * 8 + x * 8) + 7(x + 5) = 6x + -6 (40 + 8x) + 7(x + 5) = 6x + -6 Reorder the terms: 40 + 8x + 7(5 + x) = 6x + -6 40 + 8x + (5 * 7 + x * 7) = 6x + -6 40 + 8x + (35 + 7x) = 6x + -6 Reorder the terms: 40 + 35 + 8x + 7x = 6x + -6 Combine like terms: 40 + 35 = 75 75 + 8x + 7x = 6x + -6 Combine like terms: 8x + 7x = 15x 75 + 15x = 6x + -6 Reorder the terms: 75 + 15x = -6 + 6x Solving 75 + 15x = -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. 75 + 15x + -6x = -6 + 6x + -6x Combine like terms: 15x + -6x = 9x 75 + 9x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 75 + 9x = -6 + 0 75 + 9x = -6 Add '-75' to each side of the equation. 75 + -75 + 9x = -6 + -75 Combine like terms: 75 + -75 = 0 0 + 9x = -6 + -75 9x = -6 + -75 Combine like terms: -6 + -75 = -81 9x = -81 Divide each side by '9'. x = -9 Simplifying x = -9
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