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Simplifying 3x + -2[3 + 5(x + -4)] = 4x Reorder the terms: 3x + -2[3 + 5(-4 + x)] = 4x 3x + -2[3 + (-4 * 5 + x * 5)] = 4x 3x + -2[3 + (-20 + 5x)] = 4x Combine like terms: 3 + -20 = -17 3x + -2[-17 + 5x] = 4x 3x + [-17 * -2 + 5x * -2] = 4x 3x + [34 + -10x] = 4x Reorder the terms: 34 + 3x + -10x = 4x Combine like terms: 3x + -10x = -7x 34 + -7x = 4x Solving 34 + -7x = 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 34 + -7x + -4x = 4x + -4x Combine like terms: -7x + -4x = -11x 34 + -11x = 4x + -4x Combine like terms: 4x + -4x = 0 34 + -11x = 0 Add '-34' to each side of the equation. 34 + -34 + -11x = 0 + -34 Combine like terms: 34 + -34 = 0 0 + -11x = 0 + -34 -11x = 0 + -34 Combine like terms: 0 + -34 = -34 -11x = -34 Divide each side by '-11'. x = 3.090909091 Simplifying x = 3.090909091
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