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Simplifying 2(x + -6) + 5x = 32 + 3x Reorder the terms: 2(-6 + x) + 5x = 32 + 3x (-6 * 2 + x * 2) + 5x = 32 + 3x (-12 + 2x) + 5x = 32 + 3x Combine like terms: 2x + 5x = 7x -12 + 7x = 32 + 3x Solving -12 + 7x = 32 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -12 + 7x + -3x = 32 + 3x + -3x Combine like terms: 7x + -3x = 4x -12 + 4x = 32 + 3x + -3x Combine like terms: 3x + -3x = 0 -12 + 4x = 32 + 0 -12 + 4x = 32 Add '12' to each side of the equation. -12 + 12 + 4x = 32 + 12 Combine like terms: -12 + 12 = 0 0 + 4x = 32 + 12 4x = 32 + 12 Combine like terms: 32 + 12 = 44 4x = 44 Divide each side by '4'. x = 11 Simplifying x = 11
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