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Simplifying -7(-1x + 5) + 10(-1x) + 5(-4x + -3) + 50 = 0 Reorder the terms: -7(5 + -1x) + 10(-1x) + 5(-4x + -3) + 50 = 0 (5 * -7 + -1x * -7) + 10(-1x) + 5(-4x + -3) + 50 = 0 (-35 + 7x) + 10(-1x) + 5(-4x + -3) + 50 = 0 Remove parenthesis around (-1x) -35 + 7x + 10 * -1x + 5(-4x + -3) + 50 = 0 Multiply 10 * -1 -35 + 7x + -10x + 5(-4x + -3) + 50 = 0 Reorder the terms: -35 + 7x + -10x + 5(-3 + -4x) + 50 = 0 -35 + 7x + -10x + (-3 * 5 + -4x * 5) + 50 = 0 -35 + 7x + -10x + (-15 + -20x) + 50 = 0 Reorder the terms: -35 + -15 + 50 + 7x + -10x + -20x = 0 Combine like terms: -35 + -15 = -50 -50 + 50 + 7x + -10x + -20x = 0 Combine like terms: -50 + 50 = 0 0 + 7x + -10x + -20x = 0 7x + -10x + -20x = 0 Combine like terms: 7x + -10x = -3x -3x + -20x = 0 Combine like terms: -3x + -20x = -23x -23x = 0 Solving -23x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '-23'. x = 0 Simplifying x = 0
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