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Simplifying 4(7 + -8x) + -5 = -5(5x + 1) (7 * 4 + -8x * 4) + -5 = -5(5x + 1) (28 + -32x) + -5 = -5(5x + 1) Reorder the terms: 28 + -5 + -32x = -5(5x + 1) Combine like terms: 28 + -5 = 23 23 + -32x = -5(5x + 1) Reorder the terms: 23 + -32x = -5(1 + 5x) 23 + -32x = (1 * -5 + 5x * -5) 23 + -32x = (-5 + -25x) Solving 23 + -32x = -5 + -25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25x' to each side of the equation. 23 + -32x + 25x = -5 + -25x + 25x Combine like terms: -32x + 25x = -7x 23 + -7x = -5 + -25x + 25x Combine like terms: -25x + 25x = 0 23 + -7x = -5 + 0 23 + -7x = -5 Add '-23' to each side of the equation. 23 + -23 + -7x = -5 + -23 Combine like terms: 23 + -23 = 0 0 + -7x = -5 + -23 -7x = -5 + -23 Combine like terms: -5 + -23 = -28 -7x = -28 Divide each side by '-7'. x = 4 Simplifying x = 4
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