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Simplifying 8(x + 5) + 4(x + 5) = 6x + -6 Reorder the terms: 8(5 + x) + 4(x + 5) = 6x + -6 (5 * 8 + x * 8) + 4(x + 5) = 6x + -6 (40 + 8x) + 4(x + 5) = 6x + -6 Reorder the terms: 40 + 8x + 4(5 + x) = 6x + -6 40 + 8x + (5 * 4 + x * 4) = 6x + -6 40 + 8x + (20 + 4x) = 6x + -6 Reorder the terms: 40 + 20 + 8x + 4x = 6x + -6 Combine like terms: 40 + 20 = 60 60 + 8x + 4x = 6x + -6 Combine like terms: 8x + 4x = 12x 60 + 12x = 6x + -6 Reorder the terms: 60 + 12x = -6 + 6x Solving 60 + 12x = -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. 60 + 12x + -6x = -6 + 6x + -6x Combine like terms: 12x + -6x = 6x 60 + 6x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 60 + 6x = -6 + 0 60 + 6x = -6 Add '-60' to each side of the equation. 60 + -60 + 6x = -6 + -60 Combine like terms: 60 + -60 = 0 0 + 6x = -6 + -60 6x = -6 + -60 Combine like terms: -6 + -60 = -66 6x = -66 Divide each side by '6'. x = -11 Simplifying x = -11
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