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Simplifying -1x + -5x = 2(5x + 1) + 2(-5x + -4) Combine like terms: -1x + -5x = -6x -6x = 2(5x + 1) + 2(-5x + -4) Reorder the terms: -6x = 2(1 + 5x) + 2(-5x + -4) -6x = (1 * 2 + 5x * 2) + 2(-5x + -4) -6x = (2 + 10x) + 2(-5x + -4) Reorder the terms: -6x = 2 + 10x + 2(-4 + -5x) -6x = 2 + 10x + (-4 * 2 + -5x * 2) -6x = 2 + 10x + (-8 + -10x) Reorder the terms: -6x = 2 + -8 + 10x + -10x Combine like terms: 2 + -8 = -6 -6x = -6 + 10x + -10x Combine like terms: 10x + -10x = 0 -6x = -6 + 0 -6x = -6 Solving -6x = -6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '-6'. x = 1 Simplifying x = 1
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