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Simplifying 2 + 8(x + -5) = 7 + -8(x + -5) Reorder the terms: 2 + 8(-5 + x) = 7 + -8(x + -5) 2 + (-5 * 8 + x * 8) = 7 + -8(x + -5) 2 + (-40 + 8x) = 7 + -8(x + -5) Combine like terms: 2 + -40 = -38 -38 + 8x = 7 + -8(x + -5) Reorder the terms: -38 + 8x = 7 + -8(-5 + x) -38 + 8x = 7 + (-5 * -8 + x * -8) -38 + 8x = 7 + (40 + -8x) Combine like terms: 7 + 40 = 47 -38 + 8x = 47 + -8x Solving -38 + 8x = 47 + -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. -38 + 8x + 8x = 47 + -8x + 8x Combine like terms: 8x + 8x = 16x -38 + 16x = 47 + -8x + 8x Combine like terms: -8x + 8x = 0 -38 + 16x = 47 + 0 -38 + 16x = 47 Add '38' to each side of the equation. -38 + 38 + 16x = 47 + 38 Combine like terms: -38 + 38 = 0 0 + 16x = 47 + 38 16x = 47 + 38 Combine like terms: 47 + 38 = 85 16x = 85 Divide each side by '16'. x = 5.3125 Simplifying x = 5.3125
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