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Simplifying 7(3x + 2) + -3(5x + 6) = -5x + -7 Reorder the terms: 7(2 + 3x) + -3(5x + 6) = -5x + -7 (2 * 7 + 3x * 7) + -3(5x + 6) = -5x + -7 (14 + 21x) + -3(5x + 6) = -5x + -7 Reorder the terms: 14 + 21x + -3(6 + 5x) = -5x + -7 14 + 21x + (6 * -3 + 5x * -3) = -5x + -7 14 + 21x + (-18 + -15x) = -5x + -7 Reorder the terms: 14 + -18 + 21x + -15x = -5x + -7 Combine like terms: 14 + -18 = -4 -4 + 21x + -15x = -5x + -7 Combine like terms: 21x + -15x = 6x -4 + 6x = -5x + -7 Reorder the terms: -4 + 6x = -7 + -5x Solving -4 + 6x = -7 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -4 + 6x + 5x = -7 + -5x + 5x Combine like terms: 6x + 5x = 11x -4 + 11x = -7 + -5x + 5x Combine like terms: -5x + 5x = 0 -4 + 11x = -7 + 0 -4 + 11x = -7 Add '4' to each side of the equation. -4 + 4 + 11x = -7 + 4 Combine like terms: -4 + 4 = 0 0 + 11x = -7 + 4 11x = -7 + 4 Combine like terms: -7 + 4 = -3 11x = -3 Divide each side by '11'. x = -0.2727272727 Simplifying x = -0.2727272727
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