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Simplifying 5x + 2(x + -3) = 2x + -1(2x + -1) Reorder the terms: 5x + 2(-3 + x) = 2x + -1(2x + -1) 5x + (-3 * 2 + x * 2) = 2x + -1(2x + -1) 5x + (-6 + 2x) = 2x + -1(2x + -1) Reorder the terms: -6 + 5x + 2x = 2x + -1(2x + -1) Combine like terms: 5x + 2x = 7x -6 + 7x = 2x + -1(2x + -1) Reorder the terms: -6 + 7x = 2x + -1(-1 + 2x) -6 + 7x = 2x + (-1 * -1 + 2x * -1) -6 + 7x = 2x + (1 + -2x) Reorder the terms: -6 + 7x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + 7x = 1 + 0 -6 + 7x = 1 Solving -6 + 7x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 7x = 1 + 6 Combine like terms: -6 + 6 = 0 0 + 7x = 1 + 6 7x = 1 + 6 Combine like terms: 1 + 6 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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