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Simplifying 6(3x + -7) = 6x + -6 Reorder the terms: 6(-7 + 3x) = 6x + -6 (-7 * 6 + 3x * 6) = 6x + -6 (-42 + 18x) = 6x + -6 Reorder the terms: -42 + 18x = -6 + 6x Solving -42 + 18x = -6 + 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 = -6 + 6x + -6x Combine like terms: 18x + -6x = 12x -42 + 12x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 -42 + 12x = -6 + 0 -42 + 12x = -6 Add '42' to each side of the equation. -42 + 42 + 12x = -6 + 42 Combine like terms: -42 + 42 = 0 0 + 12x = -6 + 42 12x = -6 + 42 Combine like terms: -6 + 42 = 36 12x = 36 Divide each side by '12'. x = 3 Simplifying x = 3
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