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Simplifying 8(x + -5) = 5(x + -2) Reorder the terms: 8(-5 + x) = 5(x + -2) (-5 * 8 + x * 8) = 5(x + -2) (-40 + 8x) = 5(x + -2) Reorder the terms: -40 + 8x = 5(-2 + x) -40 + 8x = (-2 * 5 + x * 5) -40 + 8x = (-10 + 5x) Solving -40 + 8x = -10 + 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 + 8x + -5x = -10 + 5x + -5x Combine like terms: 8x + -5x = 3x -40 + 3x = -10 + 5x + -5x Combine like terms: 5x + -5x = 0 -40 + 3x = -10 + 0 -40 + 3x = -10 Add '40' to each side of the equation. -40 + 40 + 3x = -10 + 40 Combine like terms: -40 + 40 = 0 0 + 3x = -10 + 40 3x = -10 + 40 Combine like terms: -10 + 40 = 30 3x = 30 Divide each side by '3'. x = 10 Simplifying x = 10
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