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Simplifying 6x + 3(2x + -1) = 5(x + -2) + 1 + 5x Reorder the terms: 6x + 3(-1 + 2x) = 5(x + -2) + 1 + 5x 6x + (-1 * 3 + 2x * 3) = 5(x + -2) + 1 + 5x 6x + (-3 + 6x) = 5(x + -2) + 1 + 5x Reorder the terms: -3 + 6x + 6x = 5(x + -2) + 1 + 5x Combine like terms: 6x + 6x = 12x -3 + 12x = 5(x + -2) + 1 + 5x Reorder the terms: -3 + 12x = 5(-2 + x) + 1 + 5x -3 + 12x = (-2 * 5 + x * 5) + 1 + 5x -3 + 12x = (-10 + 5x) + 1 + 5x Reorder the terms: -3 + 12x = -10 + 1 + 5x + 5x Combine like terms: -10 + 1 = -9 -3 + 12x = -9 + 5x + 5x Combine like terms: 5x + 5x = 10x -3 + 12x = -9 + 10x Solving -3 + 12x = -9 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -3 + 12x + -10x = -9 + 10x + -10x Combine like terms: 12x + -10x = 2x -3 + 2x = -9 + 10x + -10x Combine like terms: 10x + -10x = 0 -3 + 2x = -9 + 0 -3 + 2x = -9 Add '3' to each side of the equation. -3 + 3 + 2x = -9 + 3 Combine like terms: -3 + 3 = 0 0 + 2x = -9 + 3 2x = -9 + 3 Combine like terms: -9 + 3 = -6 2x = -6 Divide each side by '2'. x = -3 Simplifying x = -3
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