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Simplifying 3(x + 2) + 2(3x + -5) = 5x Reorder the terms: 3(2 + x) + 2(3x + -5) = 5x (2 * 3 + x * 3) + 2(3x + -5) = 5x (6 + 3x) + 2(3x + -5) = 5x Reorder the terms: 6 + 3x + 2(-5 + 3x) = 5x 6 + 3x + (-5 * 2 + 3x * 2) = 5x 6 + 3x + (-10 + 6x) = 5x Reorder the terms: 6 + -10 + 3x + 6x = 5x Combine like terms: 6 + -10 = -4 -4 + 3x + 6x = 5x Combine like terms: 3x + 6x = 9x -4 + 9x = 5x Solving -4 + 9x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -4 + 9x + -5x = 5x + -5x Combine like terms: 9x + -5x = 4x -4 + 4x = 5x + -5x Combine like terms: 5x + -5x = 0 -4 + 4x = 0 Add '4' to each side of the equation. -4 + 4 + 4x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 4x = 0 + 4 4x = 0 + 4 Combine like terms: 0 + 4 = 4 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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