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Simplifying 3(5x + -1) + 5(3x + 2) = 7 Reorder the terms: 3(-1 + 5x) + 5(3x + 2) = 7 (-1 * 3 + 5x * 3) + 5(3x + 2) = 7 (-3 + 15x) + 5(3x + 2) = 7 Reorder the terms: -3 + 15x + 5(2 + 3x) = 7 -3 + 15x + (2 * 5 + 3x * 5) = 7 -3 + 15x + (10 + 15x) = 7 Reorder the terms: -3 + 10 + 15x + 15x = 7 Combine like terms: -3 + 10 = 7 7 + 15x + 15x = 7 Combine like terms: 15x + 15x = 30x 7 + 30x = 7 Add '-7' to each side of the equation. 7 + -7 + 30x = 7 + -7 Combine like terms: 7 + -7 = 0 0 + 30x = 7 + -7 30x = 7 + -7 Combine like terms: 7 + -7 = 0 30x = 0 Solving 30x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '30'. x = 0.0 Simplifying x = 0.0
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