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Simplifying 2(5x + 2) = 3(3x + -2) Reorder the terms: 2(2 + 5x) = 3(3x + -2) (2 * 2 + 5x * 2) = 3(3x + -2) (4 + 10x) = 3(3x + -2) Reorder the terms: 4 + 10x = 3(-2 + 3x) 4 + 10x = (-2 * 3 + 3x * 3) 4 + 10x = (-6 + 9x) Solving 4 + 10x = -6 + 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. 4 + 10x + -9x = -6 + 9x + -9x Combine like terms: 10x + -9x = 1x 4 + 1x = -6 + 9x + -9x Combine like terms: 9x + -9x = 0 4 + 1x = -6 + 0 4 + 1x = -6 Add '-4' to each side of the equation. 4 + -4 + 1x = -6 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = -6 + -4 1x = -6 + -4 Combine like terms: -6 + -4 = -10 1x = -10 Divide each side by '1'. x = -10 Simplifying x = -10
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