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Simplifying -2x + 20 + -4x = 6x + 2(3 + -7x) Reorder the terms: 20 + -2x + -4x = 6x + 2(3 + -7x) Combine like terms: -2x + -4x = -6x 20 + -6x = 6x + 2(3 + -7x) 20 + -6x = 6x + (3 * 2 + -7x * 2) 20 + -6x = 6x + (6 + -14x) Reorder the terms: 20 + -6x = 6 + 6x + -14x Combine like terms: 6x + -14x = -8x 20 + -6x = 6 + -8x Solving 20 + -6x = 6 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 20 + -6x + 8x = 6 + -8x + 8x Combine like terms: -6x + 8x = 2x 20 + 2x = 6 + -8x + 8x Combine like terms: -8x + 8x = 0 20 + 2x = 6 + 0 20 + 2x = 6 Add '-20' to each side of the equation. 20 + -20 + 2x = 6 + -20 Combine like terms: 20 + -20 = 0 0 + 2x = 6 + -20 2x = 6 + -20 Combine like terms: 6 + -20 = -14 2x = -14 Divide each side by '2'. x = -7 Simplifying x = -7
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