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Simplifying 2(5x + 3) = 7x + 23 Reorder the terms: 2(3 + 5x) = 7x + 23 (3 * 2 + 5x * 2) = 7x + 23 (6 + 10x) = 7x + 23 Reorder the terms: 6 + 10x = 23 + 7x Solving 6 + 10x = 23 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 6 + 10x + -7x = 23 + 7x + -7x Combine like terms: 10x + -7x = 3x 6 + 3x = 23 + 7x + -7x Combine like terms: 7x + -7x = 0 6 + 3x = 23 + 0 6 + 3x = 23 Add '-6' to each side of the equation. 6 + -6 + 3x = 23 + -6 Combine like terms: 6 + -6 = 0 0 + 3x = 23 + -6 3x = 23 + -6 Combine like terms: 23 + -6 = 17 3x = 17 Divide each side by '3'. x = 5.666666667 Simplifying x = 5.666666667
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