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Simplifying -12(x + 4) = 4(3x + 1) Reorder the terms: -12(4 + x) = 4(3x + 1) (4 * -12 + x * -12) = 4(3x + 1) (-48 + -12x) = 4(3x + 1) Reorder the terms: -48 + -12x = 4(1 + 3x) -48 + -12x = (1 * 4 + 3x * 4) -48 + -12x = (4 + 12x) Solving -48 + -12x = 4 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -48 + -12x + -12x = 4 + 12x + -12x Combine like terms: -12x + -12x = -24x -48 + -24x = 4 + 12x + -12x Combine like terms: 12x + -12x = 0 -48 + -24x = 4 + 0 -48 + -24x = 4 Add '48' to each side of the equation. -48 + 48 + -24x = 4 + 48 Combine like terms: -48 + 48 = 0 0 + -24x = 4 + 48 -24x = 4 + 48 Combine like terms: 4 + 48 = 52 -24x = 52 Divide each side by '-24'. x = -2.166666667 Simplifying x = -2.166666667
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