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Simplifying 2(5x + -3) + 6 = -35 + 3x Reorder the terms: 2(-3 + 5x) + 6 = -35 + 3x (-3 * 2 + 5x * 2) + 6 = -35 + 3x (-6 + 10x) + 6 = -35 + 3x Reorder the terms: -6 + 6 + 10x = -35 + 3x Combine like terms: -6 + 6 = 0 0 + 10x = -35 + 3x 10x = -35 + 3x Solving 10x = -35 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 10x + -3x = -35 + 3x + -3x Combine like terms: 10x + -3x = 7x 7x = -35 + 3x + -3x Combine like terms: 3x + -3x = 0 7x = -35 + 0 7x = -35 Divide each side by '7'. x = -5 Simplifying x = -5
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