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Simplifying 2(x + -6) = 3x + 2(2x + -1) Reorder the terms: 2(-6 + x) = 3x + 2(2x + -1) (-6 * 2 + x * 2) = 3x + 2(2x + -1) (-12 + 2x) = 3x + 2(2x + -1) Reorder the terms: -12 + 2x = 3x + 2(-1 + 2x) -12 + 2x = 3x + (-1 * 2 + 2x * 2) -12 + 2x = 3x + (-2 + 4x) Reorder the terms: -12 + 2x = -2 + 3x + 4x Combine like terms: 3x + 4x = 7x -12 + 2x = -2 + 7x Solving -12 + 2x = -2 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -12 + 2x + -7x = -2 + 7x + -7x Combine like terms: 2x + -7x = -5x -12 + -5x = -2 + 7x + -7x Combine like terms: 7x + -7x = 0 -12 + -5x = -2 + 0 -12 + -5x = -2 Add '12' to each side of the equation. -12 + 12 + -5x = -2 + 12 Combine like terms: -12 + 12 = 0 0 + -5x = -2 + 12 -5x = -2 + 12 Combine like terms: -2 + 12 = 10 -5x = 10 Divide each side by '-5'. x = -2 Simplifying x = -2
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