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Simplifying 3(5x + -3) = 7x + 2 + 3x Reorder the terms: 3(-3 + 5x) = 7x + 2 + 3x (-3 * 3 + 5x * 3) = 7x + 2 + 3x (-9 + 15x) = 7x + 2 + 3x Reorder the terms: -9 + 15x = 2 + 7x + 3x Combine like terms: 7x + 3x = 10x -9 + 15x = 2 + 10x Solving -9 + 15x = 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. -9 + 15x + -10x = 2 + 10x + -10x Combine like terms: 15x + -10x = 5x -9 + 5x = 2 + 10x + -10x Combine like terms: 10x + -10x = 0 -9 + 5x = 2 + 0 -9 + 5x = 2 Add '9' to each side of the equation. -9 + 9 + 5x = 2 + 9 Combine like terms: -9 + 9 = 0 0 + 5x = 2 + 9 5x = 2 + 9 Combine like terms: 2 + 9 = 11 5x = 11 Divide each side by '5'. x = 2.2 Simplifying x = 2.2
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