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Simplifying 3x + 4[2 + -4(x + -2)] = x + -4 Reorder the terms: 3x + 4[2 + -4(-2 + x)] = x + -4 3x + 4[2 + (-2 * -4 + x * -4)] = x + -4 3x + 4[2 + (8 + -4x)] = x + -4 Combine like terms: 2 + 8 = 10 3x + 4[10 + -4x] = x + -4 3x + [10 * 4 + -4x * 4] = x + -4 3x + [40 + -16x] = x + -4 Reorder the terms: 40 + 3x + -16x = x + -4 Combine like terms: 3x + -16x = -13x 40 + -13x = x + -4 Reorder the terms: 40 + -13x = -4 + x Solving 40 + -13x = -4 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 40 + -13x + -1x = -4 + x + -1x Combine like terms: -13x + -1x = -14x 40 + -14x = -4 + x + -1x Combine like terms: x + -1x = 0 40 + -14x = -4 + 0 40 + -14x = -4 Add '-40' to each side of the equation. 40 + -40 + -14x = -4 + -40 Combine like terms: 40 + -40 = 0 0 + -14x = -4 + -40 -14x = -4 + -40 Combine like terms: -4 + -40 = -44 -14x = -44 Divide each side by '-14'. x = 3.142857143 Simplifying x = 3.142857143
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