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Simplifying 5(2x + -5) + 6(3x + 1) = 2 Reorder the terms: 5(-5 + 2x) + 6(3x + 1) = 2 (-5 * 5 + 2x * 5) + 6(3x + 1) = 2 (-25 + 10x) + 6(3x + 1) = 2 Reorder the terms: -25 + 10x + 6(1 + 3x) = 2 -25 + 10x + (1 * 6 + 3x * 6) = 2 -25 + 10x + (6 + 18x) = 2 Reorder the terms: -25 + 6 + 10x + 18x = 2 Combine like terms: -25 + 6 = -19 -19 + 10x + 18x = 2 Combine like terms: 10x + 18x = 28x -19 + 28x = 2 Solving -19 + 28x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 28x = 2 + 19 Combine like terms: -19 + 19 = 0 0 + 28x = 2 + 19 28x = 2 + 19 Combine like terms: 2 + 19 = 21 28x = 21 Divide each side by '28'. x = 0.75 Simplifying x = 0.75
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