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Simplifying 2(x + -3) + 2(2x + -5) = 32 Reorder the terms: 2(-3 + x) + 2(2x + -5) = 32 (-3 * 2 + x * 2) + 2(2x + -5) = 32 (-6 + 2x) + 2(2x + -5) = 32 Reorder the terms: -6 + 2x + 2(-5 + 2x) = 32 -6 + 2x + (-5 * 2 + 2x * 2) = 32 -6 + 2x + (-10 + 4x) = 32 Reorder the terms: -6 + -10 + 2x + 4x = 32 Combine like terms: -6 + -10 = -16 -16 + 2x + 4x = 32 Combine like terms: 2x + 4x = 6x -16 + 6x = 32 Solving -16 + 6x = 32 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 6x = 32 + 16 Combine like terms: -16 + 16 = 0 0 + 6x = 32 + 16 6x = 32 + 16 Combine like terms: 32 + 16 = 48 6x = 48 Divide each side by '6'. x = 8 Simplifying x = 8
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