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Simplifying -5x + 1 = -4(2x + 5) Reorder the terms: 1 + -5x = -4(2x + 5) Reorder the terms: 1 + -5x = -4(5 + 2x) 1 + -5x = (5 * -4 + 2x * -4) 1 + -5x = (-20 + -8x) Solving 1 + -5x = -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. 1 + -5x + 8x = -20 + -8x + 8x Combine like terms: -5x + 8x = 3x 1 + 3x = -20 + -8x + 8x Combine like terms: -8x + 8x = 0 1 + 3x = -20 + 0 1 + 3x = -20 Add '-1' to each side of the equation. 1 + -1 + 3x = -20 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = -20 + -1 3x = -20 + -1 Combine like terms: -20 + -1 = -21 3x = -21 Divide each side by '3'. x = -7 Simplifying x = -7
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