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Simplifying 5(3x + -1) + -2(4x + -3) = 15 Reorder the terms: 5(-1 + 3x) + -2(4x + -3) = 15 (-1 * 5 + 3x * 5) + -2(4x + -3) = 15 (-5 + 15x) + -2(4x + -3) = 15 Reorder the terms: -5 + 15x + -2(-3 + 4x) = 15 -5 + 15x + (-3 * -2 + 4x * -2) = 15 -5 + 15x + (6 + -8x) = 15 Reorder the terms: -5 + 6 + 15x + -8x = 15 Combine like terms: -5 + 6 = 1 1 + 15x + -8x = 15 Combine like terms: 15x + -8x = 7x 1 + 7x = 15 Solving 1 + 7x = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 7x = 15 + -1 Combine like terms: 1 + -1 = 0 0 + 7x = 15 + -1 7x = 15 + -1 Combine like terms: 15 + -1 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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