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Simplifying -7(x + 6) = -4(4 + -5x) + 1 Reorder the terms: -7(6 + x) = -4(4 + -5x) + 1 (6 * -7 + x * -7) = -4(4 + -5x) + 1 (-42 + -7x) = -4(4 + -5x) + 1 -42 + -7x = (4 * -4 + -5x * -4) + 1 -42 + -7x = (-16 + 20x) + 1 Reorder the terms: -42 + -7x = -16 + 1 + 20x Combine like terms: -16 + 1 = -15 -42 + -7x = -15 + 20x Solving -42 + -7x = -15 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -42 + -7x + -20x = -15 + 20x + -20x Combine like terms: -7x + -20x = -27x -42 + -27x = -15 + 20x + -20x Combine like terms: 20x + -20x = 0 -42 + -27x = -15 + 0 -42 + -27x = -15 Add '42' to each side of the equation. -42 + 42 + -27x = -15 + 42 Combine like terms: -42 + 42 = 0 0 + -27x = -15 + 42 -27x = -15 + 42 Combine like terms: -15 + 42 = 27 -27x = 27 Divide each side by '-27'. x = -1 Simplifying x = -1
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