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Simplifying 6(4x + -7) = (12x + 2) Reorder the terms: 6(-7 + 4x) = (12x + 2) (-7 * 6 + 4x * 6) = (12x + 2) (-42 + 24x) = (12x + 2) Reorder the terms: -42 + 24x = (2 + 12x) Remove parenthesis around (2 + 12x) -42 + 24x = 2 + 12x Solving -42 + 24x = 2 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -42 + 24x + -12x = 2 + 12x + -12x Combine like terms: 24x + -12x = 12x -42 + 12x = 2 + 12x + -12x Combine like terms: 12x + -12x = 0 -42 + 12x = 2 + 0 -42 + 12x = 2 Add '42' to each side of the equation. -42 + 42 + 12x = 2 + 42 Combine like terms: -42 + 42 = 0 0 + 12x = 2 + 42 12x = 2 + 42 Combine like terms: 2 + 42 = 44 12x = 44 Divide each side by '12'. x = 3.666666667 Simplifying x = 3.666666667
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