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Simplifying 8x + -2(3x + -6) = 4x + 20 Reorder the terms: 8x + -2(-6 + 3x) = 4x + 20 8x + (-6 * -2 + 3x * -2) = 4x + 20 8x + (12 + -6x) = 4x + 20 Reorder the terms: 12 + 8x + -6x = 4x + 20 Combine like terms: 8x + -6x = 2x 12 + 2x = 4x + 20 Reorder the terms: 12 + 2x = 20 + 4x Solving 12 + 2x = 20 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 12 + 2x + -4x = 20 + 4x + -4x Combine like terms: 2x + -4x = -2x 12 + -2x = 20 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + -2x = 20 + 0 12 + -2x = 20 Add '-12' to each side of the equation. 12 + -12 + -2x = 20 + -12 Combine like terms: 12 + -12 = 0 0 + -2x = 20 + -12 -2x = 20 + -12 Combine like terms: 20 + -12 = 8 -2x = 8 Divide each side by '-2'. x = -4 Simplifying x = -4
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