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Simplifying 2(-3x + 1) + 8(x + -4) = 0 Reorder the terms: 2(1 + -3x) + 8(x + -4) = 0 (1 * 2 + -3x * 2) + 8(x + -4) = 0 (2 + -6x) + 8(x + -4) = 0 Reorder the terms: 2 + -6x + 8(-4 + x) = 0 2 + -6x + (-4 * 8 + x * 8) = 0 2 + -6x + (-32 + 8x) = 0 Reorder the terms: 2 + -32 + -6x + 8x = 0 Combine like terms: 2 + -32 = -30 -30 + -6x + 8x = 0 Combine like terms: -6x + 8x = 2x -30 + 2x = 0 Solving -30 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 2x = 0 + 30 Combine like terms: -30 + 30 = 0 0 + 2x = 0 + 30 2x = 0 + 30 Combine like terms: 0 + 30 = 30 2x = 30 Divide each side by '2'. x = 15 Simplifying x = 15
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