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Simplifying 2(5x + 3) = 2(4x + 2) Reorder the terms: 2(3 + 5x) = 2(4x + 2) (3 * 2 + 5x * 2) = 2(4x + 2) (6 + 10x) = 2(4x + 2) Reorder the terms: 6 + 10x = 2(2 + 4x) 6 + 10x = (2 * 2 + 4x * 2) 6 + 10x = (4 + 8x) Solving 6 + 10x = 4 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 6 + 10x + -8x = 4 + 8x + -8x Combine like terms: 10x + -8x = 2x 6 + 2x = 4 + 8x + -8x Combine like terms: 8x + -8x = 0 6 + 2x = 4 + 0 6 + 2x = 4 Add '-6' to each side of the equation. 6 + -6 + 2x = 4 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = 4 + -6 2x = 4 + -6 Combine like terms: 4 + -6 = -2 2x = -2 Divide each side by '2'. x = -1 Simplifying x = -1
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