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Simplifying 7x + 2(3x + -5) = 9x + -20 + -8x Reorder the terms: 7x + 2(-5 + 3x) = 9x + -20 + -8x 7x + (-5 * 2 + 3x * 2) = 9x + -20 + -8x 7x + (-10 + 6x) = 9x + -20 + -8x Reorder the terms: -10 + 7x + 6x = 9x + -20 + -8x Combine like terms: 7x + 6x = 13x -10 + 13x = 9x + -20 + -8x Reorder the terms: -10 + 13x = -20 + 9x + -8x Combine like terms: 9x + -8x = 1x -10 + 13x = -20 + 1x Solving -10 + 13x = -20 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -10 + 13x + -1x = -20 + 1x + -1x Combine like terms: 13x + -1x = 12x -10 + 12x = -20 + 1x + -1x Combine like terms: 1x + -1x = 0 -10 + 12x = -20 + 0 -10 + 12x = -20 Add '10' to each side of the equation. -10 + 10 + 12x = -20 + 10 Combine like terms: -10 + 10 = 0 0 + 12x = -20 + 10 12x = -20 + 10 Combine like terms: -20 + 10 = -10 12x = -10 Divide each side by '12'. x = -0.8333333333 Simplifying x = -0.8333333333
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