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Simplifying 7(3 + -5x) + -2(1 + -3x) = 8x + -1 (3 * 7 + -5x * 7) + -2(1 + -3x) = 8x + -1 (21 + -35x) + -2(1 + -3x) = 8x + -1 21 + -35x + (1 * -2 + -3x * -2) = 8x + -1 21 + -35x + (-2 + 6x) = 8x + -1 Reorder the terms: 21 + -2 + -35x + 6x = 8x + -1 Combine like terms: 21 + -2 = 19 19 + -35x + 6x = 8x + -1 Combine like terms: -35x + 6x = -29x 19 + -29x = 8x + -1 Reorder the terms: 19 + -29x = -1 + 8x Solving 19 + -29x = -1 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 19 + -29x + -8x = -1 + 8x + -8x Combine like terms: -29x + -8x = -37x 19 + -37x = -1 + 8x + -8x Combine like terms: 8x + -8x = 0 19 + -37x = -1 + 0 19 + -37x = -1 Add '-19' to each side of the equation. 19 + -19 + -37x = -1 + -19 Combine like terms: 19 + -19 = 0 0 + -37x = -1 + -19 -37x = -1 + -19 Combine like terms: -1 + -19 = -20 -37x = -20 Divide each side by '-37'. x = 0.5405405405 Simplifying x = 0.5405405405
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