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Simplifying 8(x + 10) + x = 4(x + 2) + -2 Reorder the terms: 8(10 + x) + x = 4(x + 2) + -2 (10 * 8 + x * 8) + x = 4(x + 2) + -2 (80 + 8x) + x = 4(x + 2) + -2 Combine like terms: 8x + x = 9x 80 + 9x = 4(x + 2) + -2 Reorder the terms: 80 + 9x = 4(2 + x) + -2 80 + 9x = (2 * 4 + x * 4) + -2 80 + 9x = (8 + 4x) + -2 Reorder the terms: 80 + 9x = 8 + -2 + 4x Combine like terms: 8 + -2 = 6 80 + 9x = 6 + 4x Solving 80 + 9x = 6 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 80 + 9x + -4x = 6 + 4x + -4x Combine like terms: 9x + -4x = 5x 80 + 5x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 80 + 5x = 6 + 0 80 + 5x = 6 Add '-80' to each side of the equation. 80 + -80 + 5x = 6 + -80 Combine like terms: 80 + -80 = 0 0 + 5x = 6 + -80 5x = 6 + -80 Combine like terms: 6 + -80 = -74 5x = -74 Divide each side by '5'. x = -14.8 Simplifying x = -14.8
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