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Simplifying 8(x + 10) + x = 3(x + 4) + -4 Reorder the terms: 8(10 + x) + x = 3(x + 4) + -4 (10 * 8 + x * 8) + x = 3(x + 4) + -4 (80 + 8x) + x = 3(x + 4) + -4 Combine like terms: 8x + x = 9x 80 + 9x = 3(x + 4) + -4 Reorder the terms: 80 + 9x = 3(4 + x) + -4 80 + 9x = (4 * 3 + x * 3) + -4 80 + 9x = (12 + 3x) + -4 Reorder the terms: 80 + 9x = 12 + -4 + 3x Combine like terms: 12 + -4 = 8 80 + 9x = 8 + 3x Solving 80 + 9x = 8 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 80 + 9x + -3x = 8 + 3x + -3x Combine like terms: 9x + -3x = 6x 80 + 6x = 8 + 3x + -3x Combine like terms: 3x + -3x = 0 80 + 6x = 8 + 0 80 + 6x = 8 Add '-80' to each side of the equation. 80 + -80 + 6x = 8 + -80 Combine like terms: 80 + -80 = 0 0 + 6x = 8 + -80 6x = 8 + -80 Combine like terms: 8 + -80 = -72 6x = -72 Divide each side by '6'. x = -12 Simplifying x = -12
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