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Simplifying 10(x + 2) = 3(3x + -1) Reorder the terms: 10(2 + x) = 3(3x + -1) (2 * 10 + x * 10) = 3(3x + -1) (20 + 10x) = 3(3x + -1) Reorder the terms: 20 + 10x = 3(-1 + 3x) 20 + 10x = (-1 * 3 + 3x * 3) 20 + 10x = (-3 + 9x) Solving 20 + 10x = -3 + 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. 20 + 10x + -9x = -3 + 9x + -9x Combine like terms: 10x + -9x = 1x 20 + 1x = -3 + 9x + -9x Combine like terms: 9x + -9x = 0 20 + 1x = -3 + 0 20 + 1x = -3 Add '-20' to each side of the equation. 20 + -20 + 1x = -3 + -20 Combine like terms: 20 + -20 = 0 0 + 1x = -3 + -20 1x = -3 + -20 Combine like terms: -3 + -20 = -23 1x = -23 Divide each side by '1'. x = -23 Simplifying x = -23
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