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Simplifying 3(2x + -3) + 4(2 + -5x) = 7(2 + -3x) + -2(3x + -1) Reorder the terms: 3(-3 + 2x) + 4(2 + -5x) = 7(2 + -3x) + -2(3x + -1) (-3 * 3 + 2x * 3) + 4(2 + -5x) = 7(2 + -3x) + -2(3x + -1) (-9 + 6x) + 4(2 + -5x) = 7(2 + -3x) + -2(3x + -1) -9 + 6x + (2 * 4 + -5x * 4) = 7(2 + -3x) + -2(3x + -1) -9 + 6x + (8 + -20x) = 7(2 + -3x) + -2(3x + -1) Reorder the terms: -9 + 8 + 6x + -20x = 7(2 + -3x) + -2(3x + -1) Combine like terms: -9 + 8 = -1 -1 + 6x + -20x = 7(2 + -3x) + -2(3x + -1) Combine like terms: 6x + -20x = -14x -1 + -14x = 7(2 + -3x) + -2(3x + -1) -1 + -14x = (2 * 7 + -3x * 7) + -2(3x + -1) -1 + -14x = (14 + -21x) + -2(3x + -1) Reorder the terms: -1 + -14x = 14 + -21x + -2(-1 + 3x) -1 + -14x = 14 + -21x + (-1 * -2 + 3x * -2) -1 + -14x = 14 + -21x + (2 + -6x) Reorder the terms: -1 + -14x = 14 + 2 + -21x + -6x Combine like terms: 14 + 2 = 16 -1 + -14x = 16 + -21x + -6x Combine like terms: -21x + -6x = -27x -1 + -14x = 16 + -27x Solving -1 + -14x = 16 + -27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27x' to each side of the equation. -1 + -14x + 27x = 16 + -27x + 27x Combine like terms: -14x + 27x = 13x -1 + 13x = 16 + -27x + 27x Combine like terms: -27x + 27x = 0 -1 + 13x = 16 + 0 -1 + 13x = 16 Add '1' to each side of the equation. -1 + 1 + 13x = 16 + 1 Combine like terms: -1 + 1 = 0 0 + 13x = 16 + 1 13x = 16 + 1 Combine like terms: 16 + 1 = 17 13x = 17 Divide each side by '13'. x = 1.307692308 Simplifying x = 1.307692308
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