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Simplifying 2(3x + -7) = 42 + 4x Reorder the terms: 2(-7 + 3x) = 42 + 4x (-7 * 2 + 3x * 2) = 42 + 4x (-14 + 6x) = 42 + 4x Solving -14 + 6x = 42 + 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. -14 + 6x + -4x = 42 + 4x + -4x Combine like terms: 6x + -4x = 2x -14 + 2x = 42 + 4x + -4x Combine like terms: 4x + -4x = 0 -14 + 2x = 42 + 0 -14 + 2x = 42 Add '14' to each side of the equation. -14 + 14 + 2x = 42 + 14 Combine like terms: -14 + 14 = 0 0 + 2x = 42 + 14 2x = 42 + 14 Combine like terms: 42 + 14 = 56 2x = 56 Divide each side by '2'. x = 28 Simplifying x = 28
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