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Simplifying -3(10 + 5x) + -5(1 + -4x) = -1 + 8x + 8 (10 * -3 + 5x * -3) + -5(1 + -4x) = -1 + 8x + 8 (-30 + -15x) + -5(1 + -4x) = -1 + 8x + 8 -30 + -15x + (1 * -5 + -4x * -5) = -1 + 8x + 8 -30 + -15x + (-5 + 20x) = -1 + 8x + 8 Reorder the terms: -30 + -5 + -15x + 20x = -1 + 8x + 8 Combine like terms: -30 + -5 = -35 -35 + -15x + 20x = -1 + 8x + 8 Combine like terms: -15x + 20x = 5x -35 + 5x = -1 + 8x + 8 Reorder the terms: -35 + 5x = -1 + 8 + 8x Combine like terms: -1 + 8 = 7 -35 + 5x = 7 + 8x Solving -35 + 5x = 7 + 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. -35 + 5x + -8x = 7 + 8x + -8x Combine like terms: 5x + -8x = -3x -35 + -3x = 7 + 8x + -8x Combine like terms: 8x + -8x = 0 -35 + -3x = 7 + 0 -35 + -3x = 7 Add '35' to each side of the equation. -35 + 35 + -3x = 7 + 35 Combine like terms: -35 + 35 = 0 0 + -3x = 7 + 35 -3x = 7 + 35 Combine like terms: 7 + 35 = 42 -3x = 42 Divide each side by '-3'. x = -14 Simplifying x = -14
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