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Simplifying 5x + 5(3x + -2) = 2x + 2 Reorder the terms: 5x + 5(-2 + 3x) = 2x + 2 5x + (-2 * 5 + 3x * 5) = 2x + 2 5x + (-10 + 15x) = 2x + 2 Reorder the terms: -10 + 5x + 15x = 2x + 2 Combine like terms: 5x + 15x = 20x -10 + 20x = 2x + 2 Reorder the terms: -10 + 20x = 2 + 2x Solving -10 + 20x = 2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -10 + 20x + -2x = 2 + 2x + -2x Combine like terms: 20x + -2x = 18x -10 + 18x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 -10 + 18x = 2 + 0 -10 + 18x = 2 Add '10' to each side of the equation. -10 + 10 + 18x = 2 + 10 Combine like terms: -10 + 10 = 0 0 + 18x = 2 + 10 18x = 2 + 10 Combine like terms: 2 + 10 = 12 18x = 12 Divide each side by '18'. x = 0.6666666667 Simplifying x = 0.6666666667
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