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Simplifying -3(4x + 3) = 43 + -4(6x + 1) Reorder the terms: -3(3 + 4x) = 43 + -4(6x + 1) (3 * -3 + 4x * -3) = 43 + -4(6x + 1) (-9 + -12x) = 43 + -4(6x + 1) Reorder the terms: -9 + -12x = 43 + -4(1 + 6x) -9 + -12x = 43 + (1 * -4 + 6x * -4) -9 + -12x = 43 + (-4 + -24x) Combine like terms: 43 + -4 = 39 -9 + -12x = 39 + -24x Solving -9 + -12x = 39 + -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. -9 + -12x + 24x = 39 + -24x + 24x Combine like terms: -12x + 24x = 12x -9 + 12x = 39 + -24x + 24x Combine like terms: -24x + 24x = 0 -9 + 12x = 39 + 0 -9 + 12x = 39 Add '9' to each side of the equation. -9 + 9 + 12x = 39 + 9 Combine like terms: -9 + 9 = 0 0 + 12x = 39 + 9 12x = 39 + 9 Combine like terms: 39 + 9 = 48 12x = 48 Divide each side by '12'. x = 4 Simplifying x = 4
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