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Simplifying 4[2x + -1(3 + -1x) + 5] = 7x + -2 4[2x + (3 * -1 + -1x * -1) + 5] = 7x + -2 4[2x + (-3 + 1x) + 5] = 7x + -2 Reorder the terms: 4[-3 + 5 + 2x + 1x] = 7x + -2 Combine like terms: -3 + 5 = 2 4[2 + 2x + 1x] = 7x + -2 Combine like terms: 2x + 1x = 3x 4[2 + 3x] = 7x + -2 [2 * 4 + 3x * 4] = 7x + -2 [8 + 12x] = 7x + -2 Reorder the terms: 8 + 12x = -2 + 7x Solving 8 + 12x = -2 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 8 + 12x + -7x = -2 + 7x + -7x Combine like terms: 12x + -7x = 5x 8 + 5x = -2 + 7x + -7x Combine like terms: 7x + -7x = 0 8 + 5x = -2 + 0 8 + 5x = -2 Add '-8' to each side of the equation. 8 + -8 + 5x = -2 + -8 Combine like terms: 8 + -8 = 0 0 + 5x = -2 + -8 5x = -2 + -8 Combine like terms: -2 + -8 = -10 5x = -10 Divide each side by '5'. x = -2 Simplifying x = -2
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