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Simplifying -1x + 4(-5x + 3) = -2(-6 + 3x) Reorder the terms: -1x + 4(3 + -5x) = -2(-6 + 3x) -1x + (3 * 4 + -5x * 4) = -2(-6 + 3x) -1x + (12 + -20x) = -2(-6 + 3x) Reorder the terms: 12 + -1x + -20x = -2(-6 + 3x) Combine like terms: -1x + -20x = -21x 12 + -21x = -2(-6 + 3x) 12 + -21x = (-6 * -2 + 3x * -2) 12 + -21x = (12 + -6x) Add '-12' to each side of the equation. 12 + -12 + -21x = 12 + -12 + -6x Combine like terms: 12 + -12 = 0 0 + -21x = 12 + -12 + -6x -21x = 12 + -12 + -6x Combine like terms: 12 + -12 = 0 -21x = 0 + -6x -21x = -6x Solving -21x = -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -21x + 6x = -6x + 6x Combine like terms: -21x + 6x = -15x -15x = -6x + 6x Combine like terms: -6x + 6x = 0 -15x = 0 Divide each side by '-15'. x = 0 Simplifying x = 0
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