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Simplifying 8(x + 1) + 4(x + 1) = 5x + -5 Reorder the terms: 8(1 + x) + 4(x + 1) = 5x + -5 (1 * 8 + x * 8) + 4(x + 1) = 5x + -5 (8 + 8x) + 4(x + 1) = 5x + -5 Reorder the terms: 8 + 8x + 4(1 + x) = 5x + -5 8 + 8x + (1 * 4 + x * 4) = 5x + -5 8 + 8x + (4 + 4x) = 5x + -5 Reorder the terms: 8 + 4 + 8x + 4x = 5x + -5 Combine like terms: 8 + 4 = 12 12 + 8x + 4x = 5x + -5 Combine like terms: 8x + 4x = 12x 12 + 12x = 5x + -5 Reorder the terms: 12 + 12x = -5 + 5x Solving 12 + 12x = -5 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 12 + 12x + -5x = -5 + 5x + -5x Combine like terms: 12x + -5x = 7x 12 + 7x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + 7x = -5 + 0 12 + 7x = -5 Add '-12' to each side of the equation. 12 + -12 + 7x = -5 + -12 Combine like terms: 12 + -12 = 0 0 + 7x = -5 + -12 7x = -5 + -12 Combine like terms: -5 + -12 = -17 7x = -17 Divide each side by '7'. x = -2.428571429 Simplifying x = -2.428571429
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