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Simplifying -2[4 + -3(x + 5)] = 4(2 + -1x) Reorder the terms: -2[4 + -3(5 + x)] = 4(2 + -1x) -2[4 + (5 * -3 + x * -3)] = 4(2 + -1x) -2[4 + (-15 + -3x)] = 4(2 + -1x) Combine like terms: 4 + -15 = -11 -2[-11 + -3x] = 4(2 + -1x) [-11 * -2 + -3x * -2] = 4(2 + -1x) [22 + 6x] = 4(2 + -1x) 22 + 6x = (2 * 4 + -1x * 4) 22 + 6x = (8 + -4x) Solving 22 + 6x = 8 + -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. 22 + 6x + 4x = 8 + -4x + 4x Combine like terms: 6x + 4x = 10x 22 + 10x = 8 + -4x + 4x Combine like terms: -4x + 4x = 0 22 + 10x = 8 + 0 22 + 10x = 8 Add '-22' to each side of the equation. 22 + -22 + 10x = 8 + -22 Combine like terms: 22 + -22 = 0 0 + 10x = 8 + -22 10x = 8 + -22 Combine like terms: 8 + -22 = -14 10x = -14 Divide each side by '10'. x = -1.4 Simplifying x = -1.4
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