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Simplifying 8(x + -5) = 13x + 40 Reorder the terms: 8(-5 + x) = 13x + 40 (-5 * 8 + x * 8) = 13x + 40 (-40 + 8x) = 13x + 40 Reorder the terms: -40 + 8x = 40 + 13x Solving -40 + 8x = 40 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -40 + 8x + -13x = 40 + 13x + -13x Combine like terms: 8x + -13x = -5x -40 + -5x = 40 + 13x + -13x Combine like terms: 13x + -13x = 0 -40 + -5x = 40 + 0 -40 + -5x = 40 Add '40' to each side of the equation. -40 + 40 + -5x = 40 + 40 Combine like terms: -40 + 40 = 0 0 + -5x = 40 + 40 -5x = 40 + 40 Combine like terms: 40 + 40 = 80 -5x = 80 Divide each side by '-5'. x = -16 Simplifying x = -16
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