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Simplifying -6 = -1(x + -5) + -3(5 + 2x) + -1(-2x + -4) Reorder the terms: -6 = -1(-5 + x) + -3(5 + 2x) + -1(-2x + -4) -6 = (-5 * -1 + x * -1) + -3(5 + 2x) + -1(-2x + -4) -6 = (5 + -1x) + -3(5 + 2x) + -1(-2x + -4) -6 = 5 + -1x + (5 * -3 + 2x * -3) + -1(-2x + -4) -6 = 5 + -1x + (-15 + -6x) + -1(-2x + -4) Reorder the terms: -6 = 5 + -1x + -15 + -6x + -1(-4 + -2x) -6 = 5 + -1x + -15 + -6x + (-4 * -1 + -2x * -1) -6 = 5 + -1x + -15 + -6x + (4 + 2x) Reorder the terms: -6 = 5 + -15 + 4 + -1x + -6x + 2x Combine like terms: 5 + -15 = -10 -6 = -10 + 4 + -1x + -6x + 2x Combine like terms: -10 + 4 = -6 -6 = -6 + -1x + -6x + 2x Combine like terms: -1x + -6x = -7x -6 = -6 + -7x + 2x Combine like terms: -7x + 2x = -5x -6 = -6 + -5x Add '6' to each side of the equation. -6 + 6 = -6 + 6 + -5x Combine like terms: -6 + 6 = 0 0 = -6 + 6 + -5x Combine like terms: -6 + 6 = 0 0 = 0 + -5x 0 = -5x Solving 0 = -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 0 + 5x = -5x + 5x Remove the zero: 5x = -5x + 5x Combine like terms: -5x + 5x = 0 5x = 0 Divide each side by '5'. x = 0 Simplifying x = 0
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