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Simplifying 9(10x + -10) + 7 = 2x + 5 Reorder the terms: 9(-10 + 10x) + 7 = 2x + 5 (-10 * 9 + 10x * 9) + 7 = 2x + 5 (-90 + 90x) + 7 = 2x + 5 Reorder the terms: -90 + 7 + 90x = 2x + 5 Combine like terms: -90 + 7 = -83 -83 + 90x = 2x + 5 Reorder the terms: -83 + 90x = 5 + 2x Solving -83 + 90x = 5 + 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. -83 + 90x + -2x = 5 + 2x + -2x Combine like terms: 90x + -2x = 88x -83 + 88x = 5 + 2x + -2x Combine like terms: 2x + -2x = 0 -83 + 88x = 5 + 0 -83 + 88x = 5 Add '83' to each side of the equation. -83 + 83 + 88x = 5 + 83 Combine like terms: -83 + 83 = 0 0 + 88x = 5 + 83 88x = 5 + 83 Combine like terms: 5 + 83 = 88 88x = 88 Divide each side by '88'. x = 1 Simplifying x = 1
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