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Simplifying 6 + 3(3x + -5 + 7x) = 2x + 1 Reorder the terms: 6 + 3(-5 + 3x + 7x) = 2x + 1 Combine like terms: 3x + 7x = 10x 6 + 3(-5 + 10x) = 2x + 1 6 + (-5 * 3 + 10x * 3) = 2x + 1 6 + (-15 + 30x) = 2x + 1 Combine like terms: 6 + -15 = -9 -9 + 30x = 2x + 1 Reorder the terms: -9 + 30x = 1 + 2x Solving -9 + 30x = 1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -9 + 30x + -2x = 1 + 2x + -2x Combine like terms: 30x + -2x = 28x -9 + 28x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 -9 + 28x = 1 + 0 -9 + 28x = 1 Add '9' to each side of the equation. -9 + 9 + 28x = 1 + 9 Combine like terms: -9 + 9 = 0 0 + 28x = 1 + 9 28x = 1 + 9 Combine like terms: 1 + 9 = 10 28x = 10 Divide each side by '28'. x = 0.3571428571 Simplifying x = 0.3571428571
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