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Simplifying -3(6 + -5x) + 1 = -4(7x + 3) (6 * -3 + -5x * -3) + 1 = -4(7x + 3) (-18 + 15x) + 1 = -4(7x + 3) Reorder the terms: -18 + 1 + 15x = -4(7x + 3) Combine like terms: -18 + 1 = -17 -17 + 15x = -4(7x + 3) Reorder the terms: -17 + 15x = -4(3 + 7x) -17 + 15x = (3 * -4 + 7x * -4) -17 + 15x = (-12 + -28x) Solving -17 + 15x = -12 + -28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28x' to each side of the equation. -17 + 15x + 28x = -12 + -28x + 28x Combine like terms: 15x + 28x = 43x -17 + 43x = -12 + -28x + 28x Combine like terms: -28x + 28x = 0 -17 + 43x = -12 + 0 -17 + 43x = -12 Add '17' to each side of the equation. -17 + 17 + 43x = -12 + 17 Combine like terms: -17 + 17 = 0 0 + 43x = -12 + 17 43x = -12 + 17 Combine like terms: -12 + 17 = 5 43x = 5 Divide each side by '43'. x = 0.1162790698 Simplifying x = 0.1162790698
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