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Simplifying 6(3x + -2) = 7 + -7(1 + -3x) Reorder the terms: 6(-2 + 3x) = 7 + -7(1 + -3x) (-2 * 6 + 3x * 6) = 7 + -7(1 + -3x) (-12 + 18x) = 7 + -7(1 + -3x) -12 + 18x = 7 + (1 * -7 + -3x * -7) -12 + 18x = 7 + (-7 + 21x) Combine like terms: 7 + -7 = 0 -12 + 18x = 0 + 21x -12 + 18x = 21x Solving -12 + 18x = 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. -12 + 18x + -21x = 21x + -21x Combine like terms: 18x + -21x = -3x -12 + -3x = 21x + -21x Combine like terms: 21x + -21x = 0 -12 + -3x = 0 Add '12' to each side of the equation. -12 + 12 + -3x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -3x = 0 + 12 -3x = 0 + 12 Combine like terms: 0 + 12 = 12 -3x = 12 Divide each side by '-3'. x = -4 Simplifying x = -4
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