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Simplifying (2 + -3x) * 5 + (8 + -1x)(-4) = 0 Reorder the terms for easier multiplication: 5(2 + -3x) + (8 + -1x)(-4) = 0 (2 * 5 + -3x * 5) + (8 + -1x)(-4) = 0 (10 + -15x) + (8 + -1x)(-4) = 0 Reorder the terms for easier multiplication: 10 + -15x + -4(8 + -1x) = 0 10 + -15x + (8 * -4 + -1x * -4) = 0 10 + -15x + (-32 + 4x) = 0 Reorder the terms: 10 + -32 + -15x + 4x = 0 Combine like terms: 10 + -32 = -22 -22 + -15x + 4x = 0 Combine like terms: -15x + 4x = -11x -22 + -11x = 0 Solving -22 + -11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + -11x = 0 + 22 Combine like terms: -22 + 22 = 0 0 + -11x = 0 + 22 -11x = 0 + 22 Combine like terms: 0 + 22 = 22 -11x = 22 Divide each side by '-11'. x = -2 Simplifying x = -2
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