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Simplifying 2(5x + -3) = 8 + 3x Reorder the terms: 2(-3 + 5x) = 8 + 3x (-3 * 2 + 5x * 2) = 8 + 3x (-6 + 10x) = 8 + 3x Solving -6 + 10x = 8 + 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. -6 + 10x + -3x = 8 + 3x + -3x Combine like terms: 10x + -3x = 7x -6 + 7x = 8 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + 7x = 8 + 0 -6 + 7x = 8 Add '6' to each side of the equation. -6 + 6 + 7x = 8 + 6 Combine like terms: -6 + 6 = 0 0 + 7x = 8 + 6 7x = 8 + 6 Combine like terms: 8 + 6 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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