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Simplifying 4(3x + 1) = 4(6x + -11) Reorder the terms: 4(1 + 3x) = 4(6x + -11) (1 * 4 + 3x * 4) = 4(6x + -11) (4 + 12x) = 4(6x + -11) Reorder the terms: 4 + 12x = 4(-11 + 6x) 4 + 12x = (-11 * 4 + 6x * 4) 4 + 12x = (-44 + 24x) Solving 4 + 12x = -44 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 4 + 12x + -24x = -44 + 24x + -24x Combine like terms: 12x + -24x = -12x 4 + -12x = -44 + 24x + -24x Combine like terms: 24x + -24x = 0 4 + -12x = -44 + 0 4 + -12x = -44 Add '-4' to each side of the equation. 4 + -4 + -12x = -44 + -4 Combine like terms: 4 + -4 = 0 0 + -12x = -44 + -4 -12x = -44 + -4 Combine like terms: -44 + -4 = -48 -12x = -48 Divide each side by '-12'. x = 4 Simplifying x = 4
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