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Simplifying 5(4x + -3) = 8(x + 4) + 12 Reorder the terms: 5(-3 + 4x) = 8(x + 4) + 12 (-3 * 5 + 4x * 5) = 8(x + 4) + 12 (-15 + 20x) = 8(x + 4) + 12 Reorder the terms: -15 + 20x = 8(4 + x) + 12 -15 + 20x = (4 * 8 + x * 8) + 12 -15 + 20x = (32 + 8x) + 12 Reorder the terms: -15 + 20x = 32 + 12 + 8x Combine like terms: 32 + 12 = 44 -15 + 20x = 44 + 8x Solving -15 + 20x = 44 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -15 + 20x + -8x = 44 + 8x + -8x Combine like terms: 20x + -8x = 12x -15 + 12x = 44 + 8x + -8x Combine like terms: 8x + -8x = 0 -15 + 12x = 44 + 0 -15 + 12x = 44 Add '15' to each side of the equation. -15 + 15 + 12x = 44 + 15 Combine like terms: -15 + 15 = 0 0 + 12x = 44 + 15 12x = 44 + 15 Combine like terms: 44 + 15 = 59 12x = 59 Divide each side by '12'. x = 4.916666667 Simplifying x = 4.916666667
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