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Simplifying (-2)(1 + -3x) = (2x + 5)(4) (1 * -2 + -3x * -2) = (2x + 5)(4) (-2 + 6x) = (2x + 5)(4) Reorder the terms: -2 + 6x = (5 + 2x)(4) Reorder the terms for easier multiplication: -2 + 6x = 4(5 + 2x) -2 + 6x = (5 * 4 + 2x * 4) -2 + 6x = (20 + 8x) Solving -2 + 6x = 20 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -2 + 6x + -8x = 20 + 8x + -8x Combine like terms: 6x + -8x = -2x -2 + -2x = 20 + 8x + -8x Combine like terms: 8x + -8x = 0 -2 + -2x = 20 + 0 -2 + -2x = 20 Add '2' to each side of the equation. -2 + 2 + -2x = 20 + 2 Combine like terms: -2 + 2 = 0 0 + -2x = 20 + 2 -2x = 20 + 2 Combine like terms: 20 + 2 = 22 -2x = 22 Divide each side by '-2'. x = -11 Simplifying x = -11
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