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Simplifying 12x + -3(x + 4) = 5x + 20 Reorder the terms: 12x + -3(4 + x) = 5x + 20 12x + (4 * -3 + x * -3) = 5x + 20 12x + (-12 + -3x) = 5x + 20 Reorder the terms: -12 + 12x + -3x = 5x + 20 Combine like terms: 12x + -3x = 9x -12 + 9x = 5x + 20 Reorder the terms: -12 + 9x = 20 + 5x Solving -12 + 9x = 20 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -12 + 9x + -5x = 20 + 5x + -5x Combine like terms: 9x + -5x = 4x -12 + 4x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + 4x = 20 + 0 -12 + 4x = 20 Add '12' to each side of the equation. -12 + 12 + 4x = 20 + 12 Combine like terms: -12 + 12 = 0 0 + 4x = 20 + 12 4x = 20 + 12 Combine like terms: 20 + 12 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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