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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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