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Simplifying 6x + -20 = 2x + 4(3x + 1) Reorder the terms: -20 + 6x = 2x + 4(3x + 1) Reorder the terms: -20 + 6x = 2x + 4(1 + 3x) -20 + 6x = 2x + (1 * 4 + 3x * 4) -20 + 6x = 2x + (4 + 12x) Reorder the terms: -20 + 6x = 4 + 2x + 12x Combine like terms: 2x + 12x = 14x -20 + 6x = 4 + 14x Solving -20 + 6x = 4 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -20 + 6x + -14x = 4 + 14x + -14x Combine like terms: 6x + -14x = -8x -20 + -8x = 4 + 14x + -14x Combine like terms: 14x + -14x = 0 -20 + -8x = 4 + 0 -20 + -8x = 4 Add '20' to each side of the equation. -20 + 20 + -8x = 4 + 20 Combine like terms: -20 + 20 = 0 0 + -8x = 4 + 20 -8x = 4 + 20 Combine like terms: 4 + 20 = 24 -8x = 24 Divide each side by '-8'. x = -3 Simplifying x = -3
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