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Simplifying 5(5x + -5) + 8 = -6(-3x + 4) Reorder the terms: 5(-5 + 5x) + 8 = -6(-3x + 4) (-5 * 5 + 5x * 5) + 8 = -6(-3x + 4) (-25 + 25x) + 8 = -6(-3x + 4) Reorder the terms: -25 + 8 + 25x = -6(-3x + 4) Combine like terms: -25 + 8 = -17 -17 + 25x = -6(-3x + 4) Reorder the terms: -17 + 25x = -6(4 + -3x) -17 + 25x = (4 * -6 + -3x * -6) -17 + 25x = (-24 + 18x) Solving -17 + 25x = -24 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -17 + 25x + -18x = -24 + 18x + -18x Combine like terms: 25x + -18x = 7x -17 + 7x = -24 + 18x + -18x Combine like terms: 18x + -18x = 0 -17 + 7x = -24 + 0 -17 + 7x = -24 Add '17' to each side of the equation. -17 + 17 + 7x = -24 + 17 Combine like terms: -17 + 17 = 0 0 + 7x = -24 + 17 7x = -24 + 17 Combine like terms: -24 + 17 = -7 7x = -7 Divide each side by '7'. x = -1 Simplifying x = -1
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