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Simplifying -1[(-4 + -6)(-4) + -2] = -1(x + -4) Combine like terms: -4 + -6 = -10 -1[(-10)(-4) + -2] = -1(x + -4) Multiply -10 * -4 -1[40 + -2] = -1(x + -4) Combine like terms: 40 + -2 = 38 -1[38] = -1(x + -4) Multiply -1 * 38 -38 = -1(x + -4) Reorder the terms: -38 = -1(-4 + x) -38 = (-4 * -1 + x * -1) -38 = (4 + -1x) Solving -38 = 4 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -38 + x = 4 + -1x + x Combine like terms: -1x + x = 0 -38 + x = 4 + 0 -38 + x = 4 Add '38' to each side of the equation. -38 + 38 + x = 4 + 38 Combine like terms: -38 + 38 = 0 0 + x = 4 + 38 x = 4 + 38 Combine like terms: 4 + 38 = 42 x = 42 Simplifying x = 42
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