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Simplifying 2x + -2(3x + -2) = 2(x + -2) + 20 Reorder the terms: 2x + -2(-2 + 3x) = 2(x + -2) + 20 2x + (-2 * -2 + 3x * -2) = 2(x + -2) + 20 2x + (4 + -6x) = 2(x + -2) + 20 Reorder the terms: 4 + 2x + -6x = 2(x + -2) + 20 Combine like terms: 2x + -6x = -4x 4 + -4x = 2(x + -2) + 20 Reorder the terms: 4 + -4x = 2(-2 + x) + 20 4 + -4x = (-2 * 2 + x * 2) + 20 4 + -4x = (-4 + 2x) + 20 Reorder the terms: 4 + -4x = -4 + 20 + 2x Combine like terms: -4 + 20 = 16 4 + -4x = 16 + 2x Solving 4 + -4x = 16 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 4 + -4x + -2x = 16 + 2x + -2x Combine like terms: -4x + -2x = -6x 4 + -6x = 16 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + -6x = 16 + 0 4 + -6x = 16 Add '-4' to each side of the equation. 4 + -4 + -6x = 16 + -4 Combine like terms: 4 + -4 = 0 0 + -6x = 16 + -4 -6x = 16 + -4 Combine like terms: 16 + -4 = 12 -6x = 12 Divide each side by '-6'. x = -2 Simplifying x = -2
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