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Simplifying 3x + -2[5(x + -1) + -4] = 4(7 + -3x) Reorder the terms: 3x + -2[5(-1 + x) + -4] = 4(7 + -3x) 3x + -2[(-1 * 5 + x * 5) + -4] = 4(7 + -3x) 3x + -2[(-5 + 5x) + -4] = 4(7 + -3x) Reorder the terms: 3x + -2[-5 + -4 + 5x] = 4(7 + -3x) Combine like terms: -5 + -4 = -9 3x + -2[-9 + 5x] = 4(7 + -3x) 3x + [-9 * -2 + 5x * -2] = 4(7 + -3x) 3x + [18 + -10x] = 4(7 + -3x) Reorder the terms: 18 + 3x + -10x = 4(7 + -3x) Combine like terms: 3x + -10x = -7x 18 + -7x = 4(7 + -3x) 18 + -7x = (7 * 4 + -3x * 4) 18 + -7x = (28 + -12x) Solving 18 + -7x = 28 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 18 + -7x + 12x = 28 + -12x + 12x Combine like terms: -7x + 12x = 5x 18 + 5x = 28 + -12x + 12x Combine like terms: -12x + 12x = 0 18 + 5x = 28 + 0 18 + 5x = 28 Add '-18' to each side of the equation. 18 + -18 + 5x = 28 + -18 Combine like terms: 18 + -18 = 0 0 + 5x = 28 + -18 5x = 28 + -18 Combine like terms: 28 + -18 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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