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Simplifying 10x + 3(2 + -1x) = 5(x + 2) + -4 10x + (2 * 3 + -1x * 3) = 5(x + 2) + -4 10x + (6 + -3x) = 5(x + 2) + -4 Reorder the terms: 6 + 10x + -3x = 5(x + 2) + -4 Combine like terms: 10x + -3x = 7x 6 + 7x = 5(x + 2) + -4 Reorder the terms: 6 + 7x = 5(2 + x) + -4 6 + 7x = (2 * 5 + x * 5) + -4 6 + 7x = (10 + 5x) + -4 Reorder the terms: 6 + 7x = 10 + -4 + 5x Combine like terms: 10 + -4 = 6 6 + 7x = 6 + 5x Add '-6' to each side of the equation. 6 + -6 + 7x = 6 + -6 + 5x Combine like terms: 6 + -6 = 0 0 + 7x = 6 + -6 + 5x 7x = 6 + -6 + 5x Combine like terms: 6 + -6 = 0 7x = 0 + 5x 7x = 5x Solving 7x = 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. 7x + -5x = 5x + -5x Combine like terms: 7x + -5x = 2x 2x = 5x + -5x Combine like terms: 5x + -5x = 0 2x = 0 Divide each side by '2'. x = 0 Simplifying x = 0
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