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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 = -99 3x = -99 Divide each side by '3'. x = -33 Simplifying x = -33
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