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Simplifying 2(3x + -5) + -4(x + -1) = 2 Reorder the terms: 2(-5 + 3x) + -4(x + -1) = 2 (-5 * 2 + 3x * 2) + -4(x + -1) = 2 (-10 + 6x) + -4(x + -1) = 2 Reorder the terms: -10 + 6x + -4(-1 + x) = 2 -10 + 6x + (-1 * -4 + x * -4) = 2 -10 + 6x + (4 + -4x) = 2 Reorder the terms: -10 + 4 + 6x + -4x = 2 Combine like terms: -10 + 4 = -6 -6 + 6x + -4x = 2 Combine like terms: 6x + -4x = 2x -6 + 2x = 2 Solving -6 + 2x = 2 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 + 2x = 2 + 6 Combine like terms: -6 + 6 = 0 0 + 2x = 2 + 6 2x = 2 + 6 Combine like terms: 2 + 6 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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