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Simplifying -1x + 4 + -1(-2)(-2)(-1x + -5) = -1(-2x + 4) Reorder the terms: -1x + 4 + -1 * -2 * -2(-5 + -1x) = -1(-2x + 4) Multiply -1 * -2 -1x + 4 + 2 * -2(-5 + -1x) = -1(-2x + 4) Multiply 2 * -2 -1x + 4 + -4(-5 + -1x) = -1(-2x + 4) -1x + 4 + (-5 * -4 + -1x * -4) = -1(-2x + 4) -1x + 4 + (20 + 4x) = -1(-2x + 4) Reorder the terms: 4 + 20 + -1x + 4x = -1(-2x + 4) Combine like terms: 4 + 20 = 24 24 + -1x + 4x = -1(-2x + 4) Combine like terms: -1x + 4x = 3x 24 + 3x = -1(-2x + 4) Reorder the terms: 24 + 3x = -1(4 + -2x) 24 + 3x = (4 * -1 + -2x * -1) 24 + 3x = (-4 + 2x) Solving 24 + 3x = -4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 24 + 3x + -2x = -4 + 2x + -2x Combine like terms: 3x + -2x = 1x 24 + 1x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 24 + 1x = -4 + 0 24 + 1x = -4 Add '-24' to each side of the equation. 24 + -24 + 1x = -4 + -24 Combine like terms: 24 + -24 = 0 0 + 1x = -4 + -24 1x = -4 + -24 Combine like terms: -4 + -24 = -28 1x = -28 Divide each side by '1'. x = -28 Simplifying x = -28
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