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Simplifying 5(5x + -2) = 153 + 2(20 + -2x) Reorder the terms: 5(-2 + 5x) = 153 + 2(20 + -2x) (-2 * 5 + 5x * 5) = 153 + 2(20 + -2x) (-10 + 25x) = 153 + 2(20 + -2x) -10 + 25x = 153 + (20 * 2 + -2x * 2) -10 + 25x = 153 + (40 + -4x) Combine like terms: 153 + 40 = 193 -10 + 25x = 193 + -4x Solving -10 + 25x = 193 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -10 + 25x + 4x = 193 + -4x + 4x Combine like terms: 25x + 4x = 29x -10 + 29x = 193 + -4x + 4x Combine like terms: -4x + 4x = 0 -10 + 29x = 193 + 0 -10 + 29x = 193 Add '10' to each side of the equation. -10 + 10 + 29x = 193 + 10 Combine like terms: -10 + 10 = 0 0 + 29x = 193 + 10 29x = 193 + 10 Combine like terms: 193 + 10 = 203 29x = 203 Divide each side by '29'. x = 7 Simplifying x = 7
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