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Simplifying 7x + -2(x + -3) = 5(2 + -1x) Reorder the terms: 7x + -2(-3 + x) = 5(2 + -1x) 7x + (-3 * -2 + x * -2) = 5(2 + -1x) 7x + (6 + -2x) = 5(2 + -1x) Reorder the terms: 6 + 7x + -2x = 5(2 + -1x) Combine like terms: 7x + -2x = 5x 6 + 5x = 5(2 + -1x) 6 + 5x = (2 * 5 + -1x * 5) 6 + 5x = (10 + -5x) Solving 6 + 5x = 10 + -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. 6 + 5x + 5x = 10 + -5x + 5x Combine like terms: 5x + 5x = 10x 6 + 10x = 10 + -5x + 5x Combine like terms: -5x + 5x = 0 6 + 10x = 10 + 0 6 + 10x = 10 Add '-6' to each side of the equation. 6 + -6 + 10x = 10 + -6 Combine like terms: 6 + -6 = 0 0 + 10x = 10 + -6 10x = 10 + -6 Combine like terms: 10 + -6 = 4 10x = 4 Divide each side by '10'. x = 0.4 Simplifying x = 0.4
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