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Simplifying 3x + 2(3x + -5) = 3(x + -2) + 8 Reorder the terms: 3x + 2(-5 + 3x) = 3(x + -2) + 8 3x + (-5 * 2 + 3x * 2) = 3(x + -2) + 8 3x + (-10 + 6x) = 3(x + -2) + 8 Reorder the terms: -10 + 3x + 6x = 3(x + -2) + 8 Combine like terms: 3x + 6x = 9x -10 + 9x = 3(x + -2) + 8 Reorder the terms: -10 + 9x = 3(-2 + x) + 8 -10 + 9x = (-2 * 3 + x * 3) + 8 -10 + 9x = (-6 + 3x) + 8 Reorder the terms: -10 + 9x = -6 + 8 + 3x Combine like terms: -6 + 8 = 2 -10 + 9x = 2 + 3x Solving -10 + 9x = 2 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -10 + 9x + -3x = 2 + 3x + -3x Combine like terms: 9x + -3x = 6x -10 + 6x = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 -10 + 6x = 2 + 0 -10 + 6x = 2 Add '10' to each side of the equation. -10 + 10 + 6x = 2 + 10 Combine like terms: -10 + 10 = 0 0 + 6x = 2 + 10 6x = 2 + 10 Combine like terms: 2 + 10 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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