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Simplifying 2(x + -5) = 32 + -4x Reorder the terms: 2(-5 + x) = 32 + -4x (-5 * 2 + x * 2) = 32 + -4x (-10 + 2x) = 32 + -4x Solving -10 + 2x = 32 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -10 + 2x + 4x = 32 + -4x + 4x Combine like terms: 2x + 4x = 6x -10 + 6x = 32 + -4x + 4x Combine like terms: -4x + 4x = 0 -10 + 6x = 32 + 0 -10 + 6x = 32 Add '10' to each side of the equation. -10 + 10 + 6x = 32 + 10 Combine like terms: -10 + 10 = 0 0 + 6x = 32 + 10 6x = 32 + 10 Combine like terms: 32 + 10 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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