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Simplifying -3(4x + 3) + 4(6x + 1) * 5 = 43 Reorder the terms: -3(3 + 4x) + 4(6x + 1) * 5 = 43 (3 * -3 + 4x * -3) + 4(6x + 1) * 5 = 43 (-9 + -12x) + 4(6x + 1) * 5 = 43 Reorder the terms: -9 + -12x + 4(1 + 6x) * 5 = 43 Reorder the terms for easier multiplication: -9 + -12x + 4 * 5(1 + 6x) = 43 Multiply 4 * 5 -9 + -12x + 20(1 + 6x) = 43 -9 + -12x + (1 * 20 + 6x * 20) = 43 -9 + -12x + (20 + 120x) = 43 Reorder the terms: -9 + 20 + -12x + 120x = 43 Combine like terms: -9 + 20 = 11 11 + -12x + 120x = 43 Combine like terms: -12x + 120x = 108x 11 + 108x = 43 Solving 11 + 108x = 43 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 108x = 43 + -11 Combine like terms: 11 + -11 = 0 0 + 108x = 43 + -11 108x = 43 + -11 Combine like terms: 43 + -11 = 32 108x = 32 Divide each side by '108'. x = 0.2962962963 Simplifying x = 0.2962962963
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