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Simplifying 5(5x + -2) + 4 = 10x + -2 Reorder the terms: 5(-2 + 5x) + 4 = 10x + -2 (-2 * 5 + 5x * 5) + 4 = 10x + -2 (-10 + 25x) + 4 = 10x + -2 Reorder the terms: -10 + 4 + 25x = 10x + -2 Combine like terms: -10 + 4 = -6 -6 + 25x = 10x + -2 Reorder the terms: -6 + 25x = -2 + 10x Solving -6 + 25x = -2 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -6 + 25x + -10x = -2 + 10x + -10x Combine like terms: 25x + -10x = 15x -6 + 15x = -2 + 10x + -10x Combine like terms: 10x + -10x = 0 -6 + 15x = -2 + 0 -6 + 15x = -2 Add '6' to each side of the equation. -6 + 6 + 15x = -2 + 6 Combine like terms: -6 + 6 = 0 0 + 15x = -2 + 6 15x = -2 + 6 Combine like terms: -2 + 6 = 4 15x = 4 Divide each side by '15'. x = 0.2666666667 Simplifying x = 0.2666666667
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