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Simplifying 3(2x + -2) = 5(5x + -10) Reorder the terms: 3(-2 + 2x) = 5(5x + -10) (-2 * 3 + 2x * 3) = 5(5x + -10) (-6 + 6x) = 5(5x + -10) Reorder the terms: -6 + 6x = 5(-10 + 5x) -6 + 6x = (-10 * 5 + 5x * 5) -6 + 6x = (-50 + 25x) Solving -6 + 6x = -50 + 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. -6 + 6x + -25x = -50 + 25x + -25x Combine like terms: 6x + -25x = -19x -6 + -19x = -50 + 25x + -25x Combine like terms: 25x + -25x = 0 -6 + -19x = -50 + 0 -6 + -19x = -50 Add '6' to each side of the equation. -6 + 6 + -19x = -50 + 6 Combine like terms: -6 + 6 = 0 0 + -19x = -50 + 6 -19x = -50 + 6 Combine like terms: -50 + 6 = -44 -19x = -44 Divide each side by '-19'. x = 2.315789474 Simplifying x = 2.315789474
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