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Simplifying 7(3x + -12) = 6(3x + -12) Reorder the terms: 7(-12 + 3x) = 6(3x + -12) (-12 * 7 + 3x * 7) = 6(3x + -12) (-84 + 21x) = 6(3x + -12) Reorder the terms: -84 + 21x = 6(-12 + 3x) -84 + 21x = (-12 * 6 + 3x * 6) -84 + 21x = (-72 + 18x) Solving -84 + 21x = -72 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -84 + 21x + -18x = -72 + 18x + -18x Combine like terms: 21x + -18x = 3x -84 + 3x = -72 + 18x + -18x Combine like terms: 18x + -18x = 0 -84 + 3x = -72 + 0 -84 + 3x = -72 Add '84' to each side of the equation. -84 + 84 + 3x = -72 + 84 Combine like terms: -84 + 84 = 0 0 + 3x = -72 + 84 3x = -72 + 84 Combine like terms: -72 + 84 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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