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Simplifying -3(2x + 1) + -1(4 + -5x) = 11 + -3x Reorder the terms: -3(1 + 2x) + -1(4 + -5x) = 11 + -3x (1 * -3 + 2x * -3) + -1(4 + -5x) = 11 + -3x (-3 + -6x) + -1(4 + -5x) = 11 + -3x -3 + -6x + (4 * -1 + -5x * -1) = 11 + -3x -3 + -6x + (-4 + 5x) = 11 + -3x Reorder the terms: -3 + -4 + -6x + 5x = 11 + -3x Combine like terms: -3 + -4 = -7 -7 + -6x + 5x = 11 + -3x Combine like terms: -6x + 5x = -1x -7 + -1x = 11 + -3x Solving -7 + -1x = 11 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -7 + -1x + 3x = 11 + -3x + 3x Combine like terms: -1x + 3x = 2x -7 + 2x = 11 + -3x + 3x Combine like terms: -3x + 3x = 0 -7 + 2x = 11 + 0 -7 + 2x = 11 Add '7' to each side of the equation. -7 + 7 + 2x = 11 + 7 Combine like terms: -7 + 7 = 0 0 + 2x = 11 + 7 2x = 11 + 7 Combine like terms: 11 + 7 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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