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Simplifying 10x + 5 = 9(x + 9) + -2 Reorder the terms: 5 + 10x = 9(x + 9) + -2 Reorder the terms: 5 + 10x = 9(9 + x) + -2 5 + 10x = (9 * 9 + x * 9) + -2 5 + 10x = (81 + 9x) + -2 Reorder the terms: 5 + 10x = 81 + -2 + 9x Combine like terms: 81 + -2 = 79 5 + 10x = 79 + 9x Solving 5 + 10x = 79 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 5 + 10x + -9x = 79 + 9x + -9x Combine like terms: 10x + -9x = 1x 5 + 1x = 79 + 9x + -9x Combine like terms: 9x + -9x = 0 5 + 1x = 79 + 0 5 + 1x = 79 Add '-5' to each side of the equation. 5 + -5 + 1x = 79 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = 79 + -5 1x = 79 + -5 Combine like terms: 79 + -5 = 74 1x = 74 Divide each side by '1'. x = 74 Simplifying x = 74
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