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Simplifying 8(5 + 2x) + -3(x + 5) = 51 (5 * 8 + 2x * 8) + -3(x + 5) = 51 (40 + 16x) + -3(x + 5) = 51 Reorder the terms: 40 + 16x + -3(5 + x) = 51 40 + 16x + (5 * -3 + x * -3) = 51 40 + 16x + (-15 + -3x) = 51 Reorder the terms: 40 + -15 + 16x + -3x = 51 Combine like terms: 40 + -15 = 25 25 + 16x + -3x = 51 Combine like terms: 16x + -3x = 13x 25 + 13x = 51 Solving 25 + 13x = 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 + 13x = 51 + -25 Combine like terms: 25 + -25 = 0 0 + 13x = 51 + -25 13x = 51 + -25 Combine like terms: 51 + -25 = 26 13x = 26 Divide each side by '13'. x = 2 Simplifying x = 2
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