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Simplifying 2(5x + 2) + -2x = 3(2x + 3) + 7 Reorder the terms: 2(2 + 5x) + -2x = 3(2x + 3) + 7 (2 * 2 + 5x * 2) + -2x = 3(2x + 3) + 7 (4 + 10x) + -2x = 3(2x + 3) + 7 Combine like terms: 10x + -2x = 8x 4 + 8x = 3(2x + 3) + 7 Reorder the terms: 4 + 8x = 3(3 + 2x) + 7 4 + 8x = (3 * 3 + 2x * 3) + 7 4 + 8x = (9 + 6x) + 7 Reorder the terms: 4 + 8x = 9 + 7 + 6x Combine like terms: 9 + 7 = 16 4 + 8x = 16 + 6x Solving 4 + 8x = 16 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 4 + 8x + -6x = 16 + 6x + -6x Combine like terms: 8x + -6x = 2x 4 + 2x = 16 + 6x + -6x Combine like terms: 6x + -6x = 0 4 + 2x = 16 + 0 4 + 2x = 16 Add '-4' to each side of the equation. 4 + -4 + 2x = 16 + -4 Combine like terms: 4 + -4 = 0 0 + 2x = 16 + -4 2x = 16 + -4 Combine like terms: 16 + -4 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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