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Simplifying 3(2x + 5) + -2(x + -5) = 51 Reorder the terms: 3(5 + 2x) + -2(x + -5) = 51 (5 * 3 + 2x * 3) + -2(x + -5) = 51 (15 + 6x) + -2(x + -5) = 51 Reorder the terms: 15 + 6x + -2(-5 + x) = 51 15 + 6x + (-5 * -2 + x * -2) = 51 15 + 6x + (10 + -2x) = 51 Reorder the terms: 15 + 10 + 6x + -2x = 51 Combine like terms: 15 + 10 = 25 25 + 6x + -2x = 51 Combine like terms: 6x + -2x = 4x 25 + 4x = 51 Solving 25 + 4x = 51 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 4x = 51 + -25 Combine like terms: 25 + -25 = 0 0 + 4x = 51 + -25 4x = 51 + -25 Combine like terms: 51 + -25 = 26 4x = 26 Divide each side by '4'. x = 6.5 Simplifying x = 6.5
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