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Simplifying 3[1 + -1(7x + -3)] = 6(4 + -3x) Reorder the terms: 3[1 + -1(-3 + 7x)] = 6(4 + -3x) 3[1 + (-3 * -1 + 7x * -1)] = 6(4 + -3x) 3[1 + (3 + -7x)] = 6(4 + -3x) Combine like terms: 1 + 3 = 4 3[4 + -7x] = 6(4 + -3x) [4 * 3 + -7x * 3] = 6(4 + -3x) [12 + -21x] = 6(4 + -3x) 12 + -21x = (4 * 6 + -3x * 6) 12 + -21x = (24 + -18x) Solving 12 + -21x = 24 + -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. 12 + -21x + 18x = 24 + -18x + 18x Combine like terms: -21x + 18x = -3x 12 + -3x = 24 + -18x + 18x Combine like terms: -18x + 18x = 0 12 + -3x = 24 + 0 12 + -3x = 24 Add '-12' to each side of the equation. 12 + -12 + -3x = 24 + -12 Combine like terms: 12 + -12 = 0 0 + -3x = 24 + -12 -3x = 24 + -12 Combine like terms: 24 + -12 = 12 -3x = 12 Divide each side by '-3'. x = -4 Simplifying x = -4
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