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Simplifying 7x + -42 = 4x + -18 Reorder the terms: -42 + 7x = 4x + -18 Reorder the terms: -42 + 7x = -18 + 4x Solving -42 + 7x = -18 + 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 = -18 + 4x + -4x Combine like terms: 7x + -4x = 3x -42 + 3x = -18 + 4x + -4x Combine like terms: 4x + -4x = 0 -42 + 3x = -18 + 0 -42 + 3x = -18 Add '42' to each side of the equation. -42 + 42 + 3x = -18 + 42 Combine like terms: -42 + 42 = 0 0 + 3x = -18 + 42 3x = -18 + 42 Combine like terms: -18 + 42 = 24 3x = 24 Divide each side by '3'. x = 8 Simplifying x = 8
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