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Simplifying 3x + -15 + 4x = 6 + -1(5x + -3) Reorder the terms: -15 + 3x + 4x = 6 + -1(5x + -3) Combine like terms: 3x + 4x = 7x -15 + 7x = 6 + -1(5x + -3) Reorder the terms: -15 + 7x = 6 + -1(-3 + 5x) -15 + 7x = 6 + (-3 * -1 + 5x * -1) -15 + 7x = 6 + (3 + -5x) Combine like terms: 6 + 3 = 9 -15 + 7x = 9 + -5x Solving -15 + 7x = 9 + -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. -15 + 7x + 5x = 9 + -5x + 5x Combine like terms: 7x + 5x = 12x -15 + 12x = 9 + -5x + 5x Combine like terms: -5x + 5x = 0 -15 + 12x = 9 + 0 -15 + 12x = 9 Add '15' to each side of the equation. -15 + 15 + 12x = 9 + 15 Combine like terms: -15 + 15 = 0 0 + 12x = 9 + 15 12x = 9 + 15 Combine like terms: 9 + 15 = 24 12x = 24 Divide each side by '12'. x = 2 Simplifying x = 2
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