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Simplifying 8x + -10 = 7(x + 10) + 9 Reorder the terms: -10 + 8x = 7(x + 10) + 9 Reorder the terms: -10 + 8x = 7(10 + x) + 9 -10 + 8x = (10 * 7 + x * 7) + 9 -10 + 8x = (70 + 7x) + 9 Reorder the terms: -10 + 8x = 70 + 9 + 7x Combine like terms: 70 + 9 = 79 -10 + 8x = 79 + 7x Solving -10 + 8x = 79 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -10 + 8x + -7x = 79 + 7x + -7x Combine like terms: 8x + -7x = 1x -10 + 1x = 79 + 7x + -7x Combine like terms: 7x + -7x = 0 -10 + 1x = 79 + 0 -10 + 1x = 79 Add '10' to each side of the equation. -10 + 10 + 1x = 79 + 10 Combine like terms: -10 + 10 = 0 0 + 1x = 79 + 10 1x = 79 + 10 Combine like terms: 79 + 10 = 89 1x = 89 Divide each side by '1'. x = 89 Simplifying x = 89
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