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Simplifying 2(4x + -3) + -1(x + -1) = 2 Reorder the terms: 2(-3 + 4x) + -1(x + -1) = 2 (-3 * 2 + 4x * 2) + -1(x + -1) = 2 (-6 + 8x) + -1(x + -1) = 2 Reorder the terms: -6 + 8x + -1(-1 + x) = 2 -6 + 8x + (-1 * -1 + x * -1) = 2 -6 + 8x + (1 + -1x) = 2 Reorder the terms: -6 + 1 + 8x + -1x = 2 Combine like terms: -6 + 1 = -5 -5 + 8x + -1x = 2 Combine like terms: 8x + -1x = 7x -5 + 7x = 2 Solving -5 + 7x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 7x = 2 + 5 Combine like terms: -5 + 5 = 0 0 + 7x = 2 + 5 7x = 2 + 5 Combine like terms: 2 + 5 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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