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Simplifying 2(5x + -1) + -3(2x + 1) = 27 Reorder the terms: 2(-1 + 5x) + -3(2x + 1) = 27 (-1 * 2 + 5x * 2) + -3(2x + 1) = 27 (-2 + 10x) + -3(2x + 1) = 27 Reorder the terms: -2 + 10x + -3(1 + 2x) = 27 -2 + 10x + (1 * -3 + 2x * -3) = 27 -2 + 10x + (-3 + -6x) = 27 Reorder the terms: -2 + -3 + 10x + -6x = 27 Combine like terms: -2 + -3 = -5 -5 + 10x + -6x = 27 Combine like terms: 10x + -6x = 4x -5 + 4x = 27 Solving -5 + 4x = 27 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 + 4x = 27 + 5 Combine like terms: -5 + 5 = 0 0 + 4x = 27 + 5 4x = 27 + 5 Combine like terms: 27 + 5 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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