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Simplifying -3(4x + 3) + 4(6 + 1x) = 43 Reorder the terms: -3(3 + 4x) + 4(6 + 1x) = 43 (3 * -3 + 4x * -3) + 4(6 + 1x) = 43 (-9 + -12x) + 4(6 + 1x) = 43 -9 + -12x + (6 * 4 + 1x * 4) = 43 -9 + -12x + (24 + 4x) = 43 Reorder the terms: -9 + 24 + -12x + 4x = 43 Combine like terms: -9 + 24 = 15 15 + -12x + 4x = 43 Combine like terms: -12x + 4x = -8x 15 + -8x = 43 Solving 15 + -8x = 43 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -8x = 43 + -15 Combine like terms: 15 + -15 = 0 0 + -8x = 43 + -15 -8x = 43 + -15 Combine like terms: 43 + -15 = 28 -8x = 28 Divide each side by '-8'. x = -3.5 Simplifying x = -3.5
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