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Simplifying 8(x + -2) + -5(x + 4) = 0 Reorder the terms: 8(-2 + x) + -5(x + 4) = 0 (-2 * 8 + x * 8) + -5(x + 4) = 0 (-16 + 8x) + -5(x + 4) = 0 Reorder the terms: -16 + 8x + -5(4 + x) = 0 -16 + 8x + (4 * -5 + x * -5) = 0 -16 + 8x + (-20 + -5x) = 0 Reorder the terms: -16 + -20 + 8x + -5x = 0 Combine like terms: -16 + -20 = -36 -36 + 8x + -5x = 0 Combine like terms: 8x + -5x = 3x -36 + 3x = 0 Solving -36 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 3x = 0 + 36 Combine like terms: -36 + 36 = 0 0 + 3x = 0 + 36 3x = 0 + 36 Combine like terms: 0 + 36 = 36 3x = 36 Divide each side by '3'. x = 12 Simplifying x = 12
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