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Simplifying 3(2x + -1) + 2(3x + -1) = 7(x + -2) Reorder the terms: 3(-1 + 2x) + 2(3x + -1) = 7(x + -2) (-1 * 3 + 2x * 3) + 2(3x + -1) = 7(x + -2) (-3 + 6x) + 2(3x + -1) = 7(x + -2) Reorder the terms: -3 + 6x + 2(-1 + 3x) = 7(x + -2) -3 + 6x + (-1 * 2 + 3x * 2) = 7(x + -2) -3 + 6x + (-2 + 6x) = 7(x + -2) Reorder the terms: -3 + -2 + 6x + 6x = 7(x + -2) Combine like terms: -3 + -2 = -5 -5 + 6x + 6x = 7(x + -2) Combine like terms: 6x + 6x = 12x -5 + 12x = 7(x + -2) Reorder the terms: -5 + 12x = 7(-2 + x) -5 + 12x = (-2 * 7 + x * 7) -5 + 12x = (-14 + 7x) Solving -5 + 12x = -14 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -5 + 12x + -7x = -14 + 7x + -7x Combine like terms: 12x + -7x = 5x -5 + 5x = -14 + 7x + -7x Combine like terms: 7x + -7x = 0 -5 + 5x = -14 + 0 -5 + 5x = -14 Add '5' to each side of the equation. -5 + 5 + 5x = -14 + 5 Combine like terms: -5 + 5 = 0 0 + 5x = -14 + 5 5x = -14 + 5 Combine like terms: -14 + 5 = -9 5x = -9 Divide each side by '5'. x = -1.8 Simplifying x = -1.8
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