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Simplifying (5x + 15) + -1(8x + 40) = x + -65 Reorder the terms: (15 + 5x) + -1(8x + 40) = x + -65 Remove parenthesis around (15 + 5x) 15 + 5x + -1(8x + 40) = x + -65 Reorder the terms: 15 + 5x + -1(40 + 8x) = x + -65 15 + 5x + (40 * -1 + 8x * -1) = x + -65 15 + 5x + (-40 + -8x) = x + -65 Reorder the terms: 15 + -40 + 5x + -8x = x + -65 Combine like terms: 15 + -40 = -25 -25 + 5x + -8x = x + -65 Combine like terms: 5x + -8x = -3x -25 + -3x = x + -65 Reorder the terms: -25 + -3x = -65 + x Solving -25 + -3x = -65 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -25 + -3x + -1x = -65 + x + -1x Combine like terms: -3x + -1x = -4x -25 + -4x = -65 + x + -1x Combine like terms: x + -1x = 0 -25 + -4x = -65 + 0 -25 + -4x = -65 Add '25' to each side of the equation. -25 + 25 + -4x = -65 + 25 Combine like terms: -25 + 25 = 0 0 + -4x = -65 + 25 -4x = -65 + 25 Combine like terms: -65 + 25 = -40 -4x = -40 Divide each side by '-4'. x = 10 Simplifying x = 10
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