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Simplifying 8(4x + -5) + -12 = 20x + -10 Reorder the terms: 8(-5 + 4x) + -12 = 20x + -10 (-5 * 8 + 4x * 8) + -12 = 20x + -10 (-40 + 32x) + -12 = 20x + -10 Reorder the terms: -40 + -12 + 32x = 20x + -10 Combine like terms: -40 + -12 = -52 -52 + 32x = 20x + -10 Reorder the terms: -52 + 32x = -10 + 20x Solving -52 + 32x = -10 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -52 + 32x + -20x = -10 + 20x + -20x Combine like terms: 32x + -20x = 12x -52 + 12x = -10 + 20x + -20x Combine like terms: 20x + -20x = 0 -52 + 12x = -10 + 0 -52 + 12x = -10 Add '52' to each side of the equation. -52 + 52 + 12x = -10 + 52 Combine like terms: -52 + 52 = 0 0 + 12x = -10 + 52 12x = -10 + 52 Combine like terms: -10 + 52 = 42 12x = 42 Divide each side by '12'. x = 3.5 Simplifying x = 3.5
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