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Simplifying 6(3x + -7) = (6x + 4) Reorder the terms: 6(-7 + 3x) = (6x + 4) (-7 * 6 + 3x * 6) = (6x + 4) (-42 + 18x) = (6x + 4) Reorder the terms: -42 + 18x = (4 + 6x) Remove parenthesis around (4 + 6x) -42 + 18x = 4 + 6x Solving -42 + 18x = 4 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -42 + 18x + -6x = 4 + 6x + -6x Combine like terms: 18x + -6x = 12x -42 + 12x = 4 + 6x + -6x Combine like terms: 6x + -6x = 0 -42 + 12x = 4 + 0 -42 + 12x = 4 Add '42' to each side of the equation. -42 + 42 + 12x = 4 + 42 Combine like terms: -42 + 42 = 0 0 + 12x = 4 + 42 12x = 4 + 42 Combine like terms: 4 + 42 = 46 12x = 46 Divide each side by '12'. x = 3.833333333 Simplifying x = 3.833333333
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