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Simplifying 8(x + 10) + x = 2(x + 4) + -4 Reorder the terms: 8(10 + x) + x = 2(x + 4) + -4 (10 * 8 + x * 8) + x = 2(x + 4) + -4 (80 + 8x) + x = 2(x + 4) + -4 Combine like terms: 8x + x = 9x 80 + 9x = 2(x + 4) + -4 Reorder the terms: 80 + 9x = 2(4 + x) + -4 80 + 9x = (4 * 2 + x * 2) + -4 80 + 9x = (8 + 2x) + -4 Reorder the terms: 80 + 9x = 8 + -4 + 2x Combine like terms: 8 + -4 = 4 80 + 9x = 4 + 2x Solving 80 + 9x = 4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 80 + 9x + -2x = 4 + 2x + -2x Combine like terms: 9x + -2x = 7x 80 + 7x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 80 + 7x = 4 + 0 80 + 7x = 4 Add '-80' to each side of the equation. 80 + -80 + 7x = 4 + -80 Combine like terms: 80 + -80 = 0 0 + 7x = 4 + -80 7x = 4 + -80 Combine like terms: 4 + -80 = -76 7x = -76 Divide each side by '7'. x = -10.85714286 Simplifying x = -10.85714286
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