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Simplifying -7(2x + -5 + 3[x + 1]) = 3x + -6 Reorder the terms: -7(2x + -5 + 3[1 + x]) = 3x + -6 -7(2x + -5 + [1 * 3 + x * 3]) = 3x + -6 -7(2x + -5 + [3 + 3x]) = 3x + -6 Reorder the terms: -7(-5 + 3 + 2x + 3x) = 3x + -6 Combine like terms: -5 + 3 = -2 -7(-2 + 2x + 3x) = 3x + -6 Combine like terms: 2x + 3x = 5x -7(-2 + 5x) = 3x + -6 (-2 * -7 + 5x * -7) = 3x + -6 (14 + -35x) = 3x + -6 Reorder the terms: 14 + -35x = -6 + 3x Solving 14 + -35x = -6 + 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. 14 + -35x + -3x = -6 + 3x + -3x Combine like terms: -35x + -3x = -38x 14 + -38x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 14 + -38x = -6 + 0 14 + -38x = -6 Add '-14' to each side of the equation. 14 + -14 + -38x = -6 + -14 Combine like terms: 14 + -14 = 0 0 + -38x = -6 + -14 -38x = -6 + -14 Combine like terms: -6 + -14 = -20 -38x = -20 Divide each side by '-38'. x = 0.5263157895 Simplifying x = 0.5263157895
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