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Simplifying 8(x + -5) + 20 = 4x + 10 + 6 Reorder the terms: 8(-5 + x) + 20 = 4x + 10 + 6 (-5 * 8 + x * 8) + 20 = 4x + 10 + 6 (-40 + 8x) + 20 = 4x + 10 + 6 Reorder the terms: -40 + 20 + 8x = 4x + 10 + 6 Combine like terms: -40 + 20 = -20 -20 + 8x = 4x + 10 + 6 Reorder the terms: -20 + 8x = 10 + 6 + 4x Combine like terms: 10 + 6 = 16 -20 + 8x = 16 + 4x Solving -20 + 8x = 16 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -20 + 8x + -4x = 16 + 4x + -4x Combine like terms: 8x + -4x = 4x -20 + 4x = 16 + 4x + -4x Combine like terms: 4x + -4x = 0 -20 + 4x = 16 + 0 -20 + 4x = 16 Add '20' to each side of the equation. -20 + 20 + 4x = 16 + 20 Combine like terms: -20 + 20 = 0 0 + 4x = 16 + 20 4x = 16 + 20 Combine like terms: 16 + 20 = 36 4x = 36 Divide each side by '4'. x = 9 Simplifying x = 9
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