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Simplifying 9(x + 8) + 12 = 8(x + 8) * 10 Reorder the terms: 9(8 + x) + 12 = 8(x + 8) * 10 (8 * 9 + x * 9) + 12 = 8(x + 8) * 10 (72 + 9x) + 12 = 8(x + 8) * 10 Reorder the terms: 72 + 12 + 9x = 8(x + 8) * 10 Combine like terms: 72 + 12 = 84 84 + 9x = 8(x + 8) * 10 Reorder the terms: 84 + 9x = 8(8 + x) * 10 Reorder the terms for easier multiplication: 84 + 9x = 8 * 10(8 + x) Multiply 8 * 10 84 + 9x = 80(8 + x) 84 + 9x = (8 * 80 + x * 80) 84 + 9x = (640 + 80x) Solving 84 + 9x = 640 + 80x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-80x' to each side of the equation. 84 + 9x + -80x = 640 + 80x + -80x Combine like terms: 9x + -80x = -71x 84 + -71x = 640 + 80x + -80x Combine like terms: 80x + -80x = 0 84 + -71x = 640 + 0 84 + -71x = 640 Add '-84' to each side of the equation. 84 + -84 + -71x = 640 + -84 Combine like terms: 84 + -84 = 0 0 + -71x = 640 + -84 -71x = 640 + -84 Combine like terms: 640 + -84 = 556 -71x = 556 Divide each side by '-71'. x = -7.830985915 Simplifying x = -7.830985915
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