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Simplifying 8(x + -5) + 2x = 5(x + 15) + -25 Reorder the terms: 8(-5 + x) + 2x = 5(x + 15) + -25 (-5 * 8 + x * 8) + 2x = 5(x + 15) + -25 (-40 + 8x) + 2x = 5(x + 15) + -25 Combine like terms: 8x + 2x = 10x -40 + 10x = 5(x + 15) + -25 Reorder the terms: -40 + 10x = 5(15 + x) + -25 -40 + 10x = (15 * 5 + x * 5) + -25 -40 + 10x = (75 + 5x) + -25 Reorder the terms: -40 + 10x = 75 + -25 + 5x Combine like terms: 75 + -25 = 50 -40 + 10x = 50 + 5x Solving -40 + 10x = 50 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -40 + 10x + -5x = 50 + 5x + -5x Combine like terms: 10x + -5x = 5x -40 + 5x = 50 + 5x + -5x Combine like terms: 5x + -5x = 0 -40 + 5x = 50 + 0 -40 + 5x = 50 Add '40' to each side of the equation. -40 + 40 + 5x = 50 + 40 Combine like terms: -40 + 40 = 0 0 + 5x = 50 + 40 5x = 50 + 40 Combine like terms: 50 + 40 = 90 5x = 90 Divide each side by '5'. x = 18 Simplifying x = 18
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