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Simplifying 7(3x + -5) + -6x = 15 + 5x Reorder the terms: 7(-5 + 3x) + -6x = 15 + 5x (-5 * 7 + 3x * 7) + -6x = 15 + 5x (-35 + 21x) + -6x = 15 + 5x Combine like terms: 21x + -6x = 15x -35 + 15x = 15 + 5x Solving -35 + 15x = 15 + 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. -35 + 15x + -5x = 15 + 5x + -5x Combine like terms: 15x + -5x = 10x -35 + 10x = 15 + 5x + -5x Combine like terms: 5x + -5x = 0 -35 + 10x = 15 + 0 -35 + 10x = 15 Add '35' to each side of the equation. -35 + 35 + 10x = 15 + 35 Combine like terms: -35 + 35 = 0 0 + 10x = 15 + 35 10x = 15 + 35 Combine like terms: 15 + 35 = 50 10x = 50 Divide each side by '10'. x = 5 Simplifying x = 5
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