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Simplifying 12 + -5(x + -8) = 3x + 20 + -9x Reorder the terms: 12 + -5(-8 + x) = 3x + 20 + -9x 12 + (-8 * -5 + x * -5) = 3x + 20 + -9x 12 + (40 + -5x) = 3x + 20 + -9x Combine like terms: 12 + 40 = 52 52 + -5x = 3x + 20 + -9x Reorder the terms: 52 + -5x = 20 + 3x + -9x Combine like terms: 3x + -9x = -6x 52 + -5x = 20 + -6x Solving 52 + -5x = 20 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 52 + -5x + 6x = 20 + -6x + 6x Combine like terms: -5x + 6x = 1x 52 + 1x = 20 + -6x + 6x Combine like terms: -6x + 6x = 0 52 + 1x = 20 + 0 52 + 1x = 20 Add '-52' to each side of the equation. 52 + -52 + 1x = 20 + -52 Combine like terms: 52 + -52 = 0 0 + 1x = 20 + -52 1x = 20 + -52 Combine like terms: 20 + -52 = -32 1x = -32 Divide each side by '1'. x = -32 Simplifying x = -32
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