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Simplifying -3(4x + 3) + -43 = 4(-2x + 1) Reorder the terms: -3(3 + 4x) + -43 = 4(-2x + 1) (3 * -3 + 4x * -3) + -43 = 4(-2x + 1) (-9 + -12x) + -43 = 4(-2x + 1) Reorder the terms: -9 + -43 + -12x = 4(-2x + 1) Combine like terms: -9 + -43 = -52 -52 + -12x = 4(-2x + 1) Reorder the terms: -52 + -12x = 4(1 + -2x) -52 + -12x = (1 * 4 + -2x * 4) -52 + -12x = (4 + -8x) Solving -52 + -12x = 4 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -52 + -12x + 8x = 4 + -8x + 8x Combine like terms: -12x + 8x = -4x -52 + -4x = 4 + -8x + 8x Combine like terms: -8x + 8x = 0 -52 + -4x = 4 + 0 -52 + -4x = 4 Add '52' to each side of the equation. -52 + 52 + -4x = 4 + 52 Combine like terms: -52 + 52 = 0 0 + -4x = 4 + 52 -4x = 4 + 52 Combine like terms: 4 + 52 = 56 -4x = 56 Divide each side by '-4'. x = -14 Simplifying x = -14
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