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Simplifying 2(3x + -1) + 6x = -2x + -1(7x + 3) Reorder the terms: 2(-1 + 3x) + 6x = -2x + -1(7x + 3) (-1 * 2 + 3x * 2) + 6x = -2x + -1(7x + 3) (-2 + 6x) + 6x = -2x + -1(7x + 3) Combine like terms: 6x + 6x = 12x -2 + 12x = -2x + -1(7x + 3) Reorder the terms: -2 + 12x = -2x + -1(3 + 7x) -2 + 12x = -2x + (3 * -1 + 7x * -1) -2 + 12x = -2x + (-3 + -7x) Reorder the terms: -2 + 12x = -3 + -2x + -7x Combine like terms: -2x + -7x = -9x -2 + 12x = -3 + -9x Solving -2 + 12x = -3 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -2 + 12x + 9x = -3 + -9x + 9x Combine like terms: 12x + 9x = 21x -2 + 21x = -3 + -9x + 9x Combine like terms: -9x + 9x = 0 -2 + 21x = -3 + 0 -2 + 21x = -3 Add '2' to each side of the equation. -2 + 2 + 21x = -3 + 2 Combine like terms: -2 + 2 = 0 0 + 21x = -3 + 2 21x = -3 + 2 Combine like terms: -3 + 2 = -1 21x = -1 Divide each side by '21'. x = -0.04761904762 Simplifying x = -0.04761904762
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