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Simplifying 3(4x + -7) = 4x + 2 Reorder the terms: 3(-7 + 4x) = 4x + 2 (-7 * 3 + 4x * 3) = 4x + 2 (-21 + 12x) = 4x + 2 Reorder the terms: -21 + 12x = 2 + 4x Solving -21 + 12x = 2 + 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. -21 + 12x + -4x = 2 + 4x + -4x Combine like terms: 12x + -4x = 8x -21 + 8x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 -21 + 8x = 2 + 0 -21 + 8x = 2 Add '21' to each side of the equation. -21 + 21 + 8x = 2 + 21 Combine like terms: -21 + 21 = 0 0 + 8x = 2 + 21 8x = 2 + 21 Combine like terms: 2 + 21 = 23 8x = 23 Divide each side by '8'. x = 2.875 Simplifying x = 2.875
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