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Simplifying 7(x + -6) = 4x + -57 Reorder the terms: 7(-6 + x) = 4x + -57 (-6 * 7 + x * 7) = 4x + -57 (-42 + 7x) = 4x + -57 Reorder the terms: -42 + 7x = -57 + 4x Solving -42 + 7x = -57 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -42 + 7x + -4x = -57 + 4x + -4x Combine like terms: 7x + -4x = 3x -42 + 3x = -57 + 4x + -4x Combine like terms: 4x + -4x = 0 -42 + 3x = -57 + 0 -42 + 3x = -57 Add '42' to each side of the equation. -42 + 42 + 3x = -57 + 42 Combine like terms: -42 + 42 = 0 0 + 3x = -57 + 42 3x = -57 + 42 Combine like terms: -57 + 42 = -15 3x = -15 Divide each side by '3'. x = -5 Simplifying x = -5
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