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Simplifying 8x + 5(x + 5) = 8(x + -5) + 5(30) Reorder the terms: 8x + 5(5 + x) = 8(x + -5) + 5(30) 8x + (5 * 5 + x * 5) = 8(x + -5) + 5(30) 8x + (25 + 5x) = 8(x + -5) + 5(30) Reorder the terms: 25 + 8x + 5x = 8(x + -5) + 5(30) Combine like terms: 8x + 5x = 13x 25 + 13x = 8(x + -5) + 5(30) Reorder the terms: 25 + 13x = 8(-5 + x) + 5(30) 25 + 13x = (-5 * 8 + x * 8) + 5(30) 25 + 13x = (-40 + 8x) + 5(30) Multiply 5 * 30 25 + 13x = -40 + 8x + 150 Reorder the terms: 25 + 13x = -40 + 150 + 8x Combine like terms: -40 + 150 = 110 25 + 13x = 110 + 8x Solving 25 + 13x = 110 + 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. 25 + 13x + -8x = 110 + 8x + -8x Combine like terms: 13x + -8x = 5x 25 + 5x = 110 + 8x + -8x Combine like terms: 8x + -8x = 0 25 + 5x = 110 + 0 25 + 5x = 110 Add '-25' to each side of the equation. 25 + -25 + 5x = 110 + -25 Combine like terms: 25 + -25 = 0 0 + 5x = 110 + -25 5x = 110 + -25 Combine like terms: 110 + -25 = 85 5x = 85 Divide each side by '5'. x = 17 Simplifying x = 17
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