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Simplifying 3x + 5[2 + -4(x + -2)] = x + -4 Reorder the terms: 3x + 5[2 + -4(-2 + x)] = x + -4 3x + 5[2 + (-2 * -4 + x * -4)] = x + -4 3x + 5[2 + (8 + -4x)] = x + -4 Combine like terms: 2 + 8 = 10 3x + 5[10 + -4x] = x + -4 3x + [10 * 5 + -4x * 5] = x + -4 3x + [50 + -20x] = x + -4 Reorder the terms: 50 + 3x + -20x = x + -4 Combine like terms: 3x + -20x = -17x 50 + -17x = x + -4 Reorder the terms: 50 + -17x = -4 + x Solving 50 + -17x = -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. 50 + -17x + -1x = -4 + x + -1x Combine like terms: -17x + -1x = -18x 50 + -18x = -4 + x + -1x Combine like terms: x + -1x = 0 50 + -18x = -4 + 0 50 + -18x = -4 Add '-50' to each side of the equation. 50 + -50 + -18x = -4 + -50 Combine like terms: 50 + -50 = 0 0 + -18x = -4 + -50 -18x = -4 + -50 Combine like terms: -4 + -50 = -54 -18x = -54 Divide each side by '-18'. x = 3 Simplifying x = 3
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