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Simplifying -3(3x + -1) + 4(7x + -5) = 11 Reorder the terms: -3(-1 + 3x) + 4(7x + -5) = 11 (-1 * -3 + 3x * -3) + 4(7x + -5) = 11 (3 + -9x) + 4(7x + -5) = 11 Reorder the terms: 3 + -9x + 4(-5 + 7x) = 11 3 + -9x + (-5 * 4 + 7x * 4) = 11 3 + -9x + (-20 + 28x) = 11 Reorder the terms: 3 + -20 + -9x + 28x = 11 Combine like terms: 3 + -20 = -17 -17 + -9x + 28x = 11 Combine like terms: -9x + 28x = 19x -17 + 19x = 11 Solving -17 + 19x = 11 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 19x = 11 + 17 Combine like terms: -17 + 17 = 0 0 + 19x = 11 + 17 19x = 11 + 17 Combine like terms: 11 + 17 = 28 19x = 28 Divide each side by '19'. x = 1.473684211 Simplifying x = 1.473684211
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