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Simplifying x + -65 = 5(5x + 3) + -8 Reorder the terms: -65 + x = 5(5x + 3) + -8 Reorder the terms: -65 + x = 5(3 + 5x) + -8 -65 + x = (3 * 5 + 5x * 5) + -8 -65 + x = (15 + 25x) + -8 Reorder the terms: -65 + x = 15 + -8 + 25x Combine like terms: 15 + -8 = 7 -65 + x = 7 + 25x Solving -65 + x = 7 + 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. -65 + x + -25x = 7 + 25x + -25x Combine like terms: x + -25x = -24x -65 + -24x = 7 + 25x + -25x Combine like terms: 25x + -25x = 0 -65 + -24x = 7 + 0 -65 + -24x = 7 Add '65' to each side of the equation. -65 + 65 + -24x = 7 + 65 Combine like terms: -65 + 65 = 0 0 + -24x = 7 + 65 -24x = 7 + 65 Combine like terms: 7 + 65 = 72 -24x = 72 Divide each side by '-24'. x = -3 Simplifying x = -3
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