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Simplifying 3(5x + -3) = 7x + 2 Reorder the terms: 3(-3 + 5x) = 7x + 2 (-3 * 3 + 5x * 3) = 7x + 2 (-9 + 15x) = 7x + 2 Reorder the terms: -9 + 15x = 2 + 7x Solving -9 + 15x = 2 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -9 + 15x + -7x = 2 + 7x + -7x Combine like terms: 15x + -7x = 8x -9 + 8x = 2 + 7x + -7x Combine like terms: 7x + -7x = 0 -9 + 8x = 2 + 0 -9 + 8x = 2 Add '9' to each side of the equation. -9 + 9 + 8x = 2 + 9 Combine like terms: -9 + 9 = 0 0 + 8x = 2 + 9 8x = 2 + 9 Combine like terms: 2 + 9 = 11 8x = 11 Divide each side by '8'. x = 1.375 Simplifying x = 1.375
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