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Simplifying -3(3x + 10) + -7(5x + -10) = 6x + -10 Reorder the terms: -3(10 + 3x) + -7(5x + -10) = 6x + -10 (10 * -3 + 3x * -3) + -7(5x + -10) = 6x + -10 (-30 + -9x) + -7(5x + -10) = 6x + -10 Reorder the terms: -30 + -9x + -7(-10 + 5x) = 6x + -10 -30 + -9x + (-10 * -7 + 5x * -7) = 6x + -10 -30 + -9x + (70 + -35x) = 6x + -10 Reorder the terms: -30 + 70 + -9x + -35x = 6x + -10 Combine like terms: -30 + 70 = 40 40 + -9x + -35x = 6x + -10 Combine like terms: -9x + -35x = -44x 40 + -44x = 6x + -10 Reorder the terms: 40 + -44x = -10 + 6x Solving 40 + -44x = -10 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 40 + -44x + -6x = -10 + 6x + -6x Combine like terms: -44x + -6x = -50x 40 + -50x = -10 + 6x + -6x Combine like terms: 6x + -6x = 0 40 + -50x = -10 + 0 40 + -50x = -10 Add '-40' to each side of the equation. 40 + -40 + -50x = -10 + -40 Combine like terms: 40 + -40 = 0 0 + -50x = -10 + -40 -50x = -10 + -40 Combine like terms: -10 + -40 = -50 -50x = -50 Divide each side by '-50'. x = 1 Simplifying x = 1
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