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Simplifying 5(x + -8) = 3(x + 6) + 6 Reorder the terms: 5(-8 + x) = 3(x + 6) + 6 (-8 * 5 + x * 5) = 3(x + 6) + 6 (-40 + 5x) = 3(x + 6) + 6 Reorder the terms: -40 + 5x = 3(6 + x) + 6 -40 + 5x = (6 * 3 + x * 3) + 6 -40 + 5x = (18 + 3x) + 6 Reorder the terms: -40 + 5x = 18 + 6 + 3x Combine like terms: 18 + 6 = 24 -40 + 5x = 24 + 3x Solving -40 + 5x = 24 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -40 + 5x + -3x = 24 + 3x + -3x Combine like terms: 5x + -3x = 2x -40 + 2x = 24 + 3x + -3x Combine like terms: 3x + -3x = 0 -40 + 2x = 24 + 0 -40 + 2x = 24 Add '40' to each side of the equation. -40 + 40 + 2x = 24 + 40 Combine like terms: -40 + 40 = 0 0 + 2x = 24 + 40 2x = 24 + 40 Combine like terms: 24 + 40 = 64 2x = 64 Divide each side by '2'. x = 32 Simplifying x = 32
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