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Simplifying 13 + 7x + -5(2x + 18) = 3x + 2(x + -5) Reorder the terms: 13 + 7x + -5(18 + 2x) = 3x + 2(x + -5) 13 + 7x + (18 * -5 + 2x * -5) = 3x + 2(x + -5) 13 + 7x + (-90 + -10x) = 3x + 2(x + -5) Reorder the terms: 13 + -90 + 7x + -10x = 3x + 2(x + -5) Combine like terms: 13 + -90 = -77 -77 + 7x + -10x = 3x + 2(x + -5) Combine like terms: 7x + -10x = -3x -77 + -3x = 3x + 2(x + -5) Reorder the terms: -77 + -3x = 3x + 2(-5 + x) -77 + -3x = 3x + (-5 * 2 + x * 2) -77 + -3x = 3x + (-10 + 2x) Reorder the terms: -77 + -3x = -10 + 3x + 2x Combine like terms: 3x + 2x = 5x -77 + -3x = -10 + 5x Solving -77 + -3x = -10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -77 + -3x + -5x = -10 + 5x + -5x Combine like terms: -3x + -5x = -8x -77 + -8x = -10 + 5x + -5x Combine like terms: 5x + -5x = 0 -77 + -8x = -10 + 0 -77 + -8x = -10 Add '77' to each side of the equation. -77 + 77 + -8x = -10 + 77 Combine like terms: -77 + 77 = 0 0 + -8x = -10 + 77 -8x = -10 + 77 Combine like terms: -10 + 77 = 67 -8x = 67 Divide each side by '-8'. x = -8.375 Simplifying x = -8.375
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