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Simplifying -57 + -6x = 6(7x + -10) + 3 Reorder the terms: -57 + -6x = 6(-10 + 7x) + 3 -57 + -6x = (-10 * 6 + 7x * 6) + 3 -57 + -6x = (-60 + 42x) + 3 Reorder the terms: -57 + -6x = -60 + 3 + 42x Combine like terms: -60 + 3 = -57 -57 + -6x = -57 + 42x Add '57' to each side of the equation. -57 + 57 + -6x = -57 + 57 + 42x Combine like terms: -57 + 57 = 0 0 + -6x = -57 + 57 + 42x -6x = -57 + 57 + 42x Combine like terms: -57 + 57 = 0 -6x = 0 + 42x -6x = 42x Solving -6x = 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. -6x + -42x = 42x + -42x Combine like terms: -6x + -42x = -48x -48x = 42x + -42x Combine like terms: 42x + -42x = 0 -48x = 0 Divide each side by '-48'. x = 0 Simplifying x = 0
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