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Simplifying 4(6x + -3) = -3(1 + -7x) Reorder the terms: 4(-3 + 6x) = -3(1 + -7x) (-3 * 4 + 6x * 4) = -3(1 + -7x) (-12 + 24x) = -3(1 + -7x) -12 + 24x = (1 * -3 + -7x * -3) -12 + 24x = (-3 + 21x) Solving -12 + 24x = -3 + 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 + 24x + -21x = -3 + 21x + -21x Combine like terms: 24x + -21x = 3x -12 + 3x = -3 + 21x + -21x Combine like terms: 21x + -21x = 0 -12 + 3x = -3 + 0 -12 + 3x = -3 Add '12' to each side of the equation. -12 + 12 + 3x = -3 + 12 Combine like terms: -12 + 12 = 0 0 + 3x = -3 + 12 3x = -3 + 12 Combine like terms: -3 + 12 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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