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Simplifying -8(x + 2) + 3(x + 5) = 0 Reorder the terms: -8(2 + x) + 3(x + 5) = 0 (2 * -8 + x * -8) + 3(x + 5) = 0 (-16 + -8x) + 3(x + 5) = 0 Reorder the terms: -16 + -8x + 3(5 + x) = 0 -16 + -8x + (5 * 3 + x * 3) = 0 -16 + -8x + (15 + 3x) = 0 Reorder the terms: -16 + 15 + -8x + 3x = 0 Combine like terms: -16 + 15 = -1 -1 + -8x + 3x = 0 Combine like terms: -8x + 3x = -5x -1 + -5x = 0 Solving -1 + -5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -5x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -5x = 0 + 1 -5x = 0 + 1 Combine like terms: 0 + 1 = 1 -5x = 1 Divide each side by '-5'. x = -0.2 Simplifying x = -0.2
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