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Simplifying x + 3 = 5(5x + -2) Reorder the terms: 3 + x = 5(5x + -2) Reorder the terms: 3 + x = 5(-2 + 5x) 3 + x = (-2 * 5 + 5x * 5) 3 + x = (-10 + 25x) Solving 3 + x = -10 + 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. 3 + x + -25x = -10 + 25x + -25x Combine like terms: x + -25x = -24x 3 + -24x = -10 + 25x + -25x Combine like terms: 25x + -25x = 0 3 + -24x = -10 + 0 3 + -24x = -10 Add '-3' to each side of the equation. 3 + -3 + -24x = -10 + -3 Combine like terms: 3 + -3 = 0 0 + -24x = -10 + -3 -24x = -10 + -3 Combine like terms: -10 + -3 = -13 -24x = -13 Divide each side by '-24'. x = 0.5416666667 Simplifying x = 0.5416666667
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