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Simplifying 1 = 7x + 8(-4x + -3) Reorder the terms: 1 = 7x + 8(-3 + -4x) 1 = 7x + (-3 * 8 + -4x * 8) 1 = 7x + (-24 + -32x) Reorder the terms: 1 = -24 + 7x + -32x Combine like terms: 7x + -32x = -25x 1 = -24 + -25x Solving 1 = -24 + -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. 1 + 25x = -24 + -25x + 25x Combine like terms: -25x + 25x = 0 1 + 25x = -24 + 0 1 + 25x = -24 Add '-1' to each side of the equation. 1 + -1 + 25x = -24 + -1 Combine like terms: 1 + -1 = 0 0 + 25x = -24 + -1 25x = -24 + -1 Combine like terms: -24 + -1 = -25 25x = -25 Divide each side by '25'. x = -1 Simplifying x = -1
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