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Simplifying -2(3x + -6) + 4(2x + -8) = 42 Reorder the terms: -2(-6 + 3x) + 4(2x + -8) = 42 (-6 * -2 + 3x * -2) + 4(2x + -8) = 42 (12 + -6x) + 4(2x + -8) = 42 Reorder the terms: 12 + -6x + 4(-8 + 2x) = 42 12 + -6x + (-8 * 4 + 2x * 4) = 42 12 + -6x + (-32 + 8x) = 42 Reorder the terms: 12 + -32 + -6x + 8x = 42 Combine like terms: 12 + -32 = -20 -20 + -6x + 8x = 42 Combine like terms: -6x + 8x = 2x -20 + 2x = 42 Solving -20 + 2x = 42 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 2x = 42 + 20 Combine like terms: -20 + 20 = 0 0 + 2x = 42 + 20 2x = 42 + 20 Combine like terms: 42 + 20 = 62 2x = 62 Divide each side by '2'. x = 31 Simplifying x = 31
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