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Simplifying 5(x + -3) + -2(5x + 4) = 7(3x + -2) + (4 + 8) + 43 Reorder the terms: 5(-3 + x) + -2(5x + 4) = 7(3x + -2) + (4 + 8) + 43 (-3 * 5 + x * 5) + -2(5x + 4) = 7(3x + -2) + (4 + 8) + 43 (-15 + 5x) + -2(5x + 4) = 7(3x + -2) + (4 + 8) + 43 Reorder the terms: -15 + 5x + -2(4 + 5x) = 7(3x + -2) + (4 + 8) + 43 -15 + 5x + (4 * -2 + 5x * -2) = 7(3x + -2) + (4 + 8) + 43 -15 + 5x + (-8 + -10x) = 7(3x + -2) + (4 + 8) + 43 Reorder the terms: -15 + -8 + 5x + -10x = 7(3x + -2) + (4 + 8) + 43 Combine like terms: -15 + -8 = -23 -23 + 5x + -10x = 7(3x + -2) + (4 + 8) + 43 Combine like terms: 5x + -10x = -5x -23 + -5x = 7(3x + -2) + (4 + 8) + 43 Reorder the terms: -23 + -5x = 7(-2 + 3x) + (4 + 8) + 43 -23 + -5x = (-2 * 7 + 3x * 7) + (4 + 8) + 43 -23 + -5x = (-14 + 21x) + (4 + 8) + 43 Combine like terms: 4 + 8 = 12 -23 + -5x = -14 + 21x + (12) + 43 -23 + -5x = -14 + 21x + 12 + 43 Reorder the terms: -23 + -5x = -14 + 12 + 43 + 21x Combine like terms: -14 + 12 = -2 -23 + -5x = -2 + 43 + 21x Combine like terms: -2 + 43 = 41 -23 + -5x = 41 + 21x Solving -23 + -5x = 41 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. -23 + -5x + -21x = 41 + 21x + -21x Combine like terms: -5x + -21x = -26x -23 + -26x = 41 + 21x + -21x Combine like terms: 21x + -21x = 0 -23 + -26x = 41 + 0 -23 + -26x = 41 Add '23' to each side of the equation. -23 + 23 + -26x = 41 + 23 Combine like terms: -23 + 23 = 0 0 + -26x = 41 + 23 -26x = 41 + 23 Combine like terms: 41 + 23 = 64 -26x = 64 Divide each side by '-26'. x = -2.461538462 Simplifying x = -2.461538462
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