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Simplifying 8(3x + -5) = 27x + -52 Reorder the terms: 8(-5 + 3x) = 27x + -52 (-5 * 8 + 3x * 8) = 27x + -52 (-40 + 24x) = 27x + -52 Reorder the terms: -40 + 24x = -52 + 27x Solving -40 + 24x = -52 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. -40 + 24x + -27x = -52 + 27x + -27x Combine like terms: 24x + -27x = -3x -40 + -3x = -52 + 27x + -27x Combine like terms: 27x + -27x = 0 -40 + -3x = -52 + 0 -40 + -3x = -52 Add '40' to each side of the equation. -40 + 40 + -3x = -52 + 40 Combine like terms: -40 + 40 = 0 0 + -3x = -52 + 40 -3x = -52 + 40 Combine like terms: -52 + 40 = -12 -3x = -12 Divide each side by '-3'. x = 4 Simplifying x = 4
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