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Simplifying 10x + -5 = 9(x + -10) + 3 Reorder the terms: -5 + 10x = 9(x + -10) + 3 Reorder the terms: -5 + 10x = 9(-10 + x) + 3 -5 + 10x = (-10 * 9 + x * 9) + 3 -5 + 10x = (-90 + 9x) + 3 Reorder the terms: -5 + 10x = -90 + 3 + 9x Combine like terms: -90 + 3 = -87 -5 + 10x = -87 + 9x Solving -5 + 10x = -87 + 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 = -87 + 9x + -9x Combine like terms: 10x + -9x = 1x -5 + 1x = -87 + 9x + -9x Combine like terms: 9x + -9x = 0 -5 + 1x = -87 + 0 -5 + 1x = -87 Add '5' to each side of the equation. -5 + 5 + 1x = -87 + 5 Combine like terms: -5 + 5 = 0 0 + 1x = -87 + 5 1x = -87 + 5 Combine like terms: -87 + 5 = -82 1x = -82 Divide each side by '1'. x = -82 Simplifying x = -82
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