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Simplifying 2x + -1(6x + 2) = 6x + -32 Reorder the terms: 2x + -1(2 + 6x) = 6x + -32 2x + (2 * -1 + 6x * -1) = 6x + -32 2x + (-2 + -6x) = 6x + -32 Reorder the terms: -2 + 2x + -6x = 6x + -32 Combine like terms: 2x + -6x = -4x -2 + -4x = 6x + -32 Reorder the terms: -2 + -4x = -32 + 6x Solving -2 + -4x = -32 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -2 + -4x + -6x = -32 + 6x + -6x Combine like terms: -4x + -6x = -10x -2 + -10x = -32 + 6x + -6x Combine like terms: 6x + -6x = 0 -2 + -10x = -32 + 0 -2 + -10x = -32 Add '2' to each side of the equation. -2 + 2 + -10x = -32 + 2 Combine like terms: -2 + 2 = 0 0 + -10x = -32 + 2 -10x = -32 + 2 Combine like terms: -32 + 2 = -30 -10x = -30 Divide each side by '-10'. x = 3 Simplifying x = 3
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