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Simplifying 3(2x + -5) + -1(4x + 1) = 6 Reorder the terms: 3(-5 + 2x) + -1(4x + 1) = 6 (-5 * 3 + 2x * 3) + -1(4x + 1) = 6 (-15 + 6x) + -1(4x + 1) = 6 Reorder the terms: -15 + 6x + -1(1 + 4x) = 6 -15 + 6x + (1 * -1 + 4x * -1) = 6 -15 + 6x + (-1 + -4x) = 6 Reorder the terms: -15 + -1 + 6x + -4x = 6 Combine like terms: -15 + -1 = -16 -16 + 6x + -4x = 6 Combine like terms: 6x + -4x = 2x -16 + 2x = 6 Solving -16 + 2x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 2x = 6 + 16 Combine like terms: -16 + 16 = 0 0 + 2x = 6 + 16 2x = 6 + 16 Combine like terms: 6 + 16 = 22 2x = 22 Divide each side by '2'. x = 11 Simplifying x = 11
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