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Simplifying -7(6x + -5) + 5 = 42x + 40 Reorder the terms: -7(-5 + 6x) + 5 = 42x + 40 (-5 * -7 + 6x * -7) + 5 = 42x + 40 (35 + -42x) + 5 = 42x + 40 Reorder the terms: 35 + 5 + -42x = 42x + 40 Combine like terms: 35 + 5 = 40 40 + -42x = 42x + 40 Reorder the terms: 40 + -42x = 40 + 42x Add '-40' to each side of the equation. 40 + -40 + -42x = 40 + -40 + 42x Combine like terms: 40 + -40 = 0 0 + -42x = 40 + -40 + 42x -42x = 40 + -40 + 42x Combine like terms: 40 + -40 = 0 -42x = 0 + 42x -42x = 42x Solving -42x = 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. -42x + -42x = 42x + -42x Combine like terms: -42x + -42x = -84x -84x = 42x + -42x Combine like terms: 42x + -42x = 0 -84x = 0 Divide each side by '-84'. x = 0 Simplifying x = 0
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