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Simplifying 10(10x + 32) = 2x Reorder the terms: 10(32 + 10x) = 2x (32 * 10 + 10x * 10) = 2x (320 + 100x) = 2x Solving 320 + 100x = 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. 320 + 100x + -2x = 2x + -2x Combine like terms: 100x + -2x = 98x 320 + 98x = 2x + -2x Combine like terms: 2x + -2x = 0 320 + 98x = 0 Add '-320' to each side of the equation. 320 + -320 + 98x = 0 + -320 Combine like terms: 320 + -320 = 0 0 + 98x = 0 + -320 98x = 0 + -320 Combine like terms: 0 + -320 = -320 98x = -320 Divide each side by '98'. x = -3.265306122 Simplifying x = -3.265306122
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